Topic: powers list of topics
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	81^5 as a power of 3		2019-12-29
		From NA: How do we turn 81^5 into the power of 3? Answered by Harley Weston.
	Fractions and negative powers		2019-09-22
		From Will: -2/3 to the -6 power Answered by Penny Nom.
	The exponential form of sqrt(13)		2019-02-10
		From isaebl: what is the exponential form of sqrt(13) Answered by Penny Nom.
	A puzzling equation		2018-12-04
		From Manny: Hello, Can you explain why this is wrong: -1 = (-1)^3 = (-1)^{6/2} = ((-1)^6)^{1/2} = (1)^{1/2} = 1 ?? Thank you Answered by Penny Nom.
	4444^4444		2017-12-10
		From Sashi: 4444 to power of 4444=? Please share the result with simplification. Answered by Penny Nom.
	How to find last two or three digits of a large exponent like 17^256?		2017-03-30
		From Raginee: How to find last two or three digits of a large exponent like 17^256? Answered by Penny Nom.
	Differentiate y = x^x^x		2017-03-19
		From Nafis: differentiate y = x^x^x Answered by Penny Nom.
	Powers		2016-09-29
		From Ezra: i cant figure out this question. Can you please help ezra product of power (6x4)3 Answered by Penny Nom.
	Order of operations		2015-09-12
		From Tanisha: I would just like to double check if something like 5x squared times 4x cubed equals 20x to the power of 5?? It's just that we were told you can only answer an equation like this if the base is the same...so does that mean the x part or the whole thing like 5x? I'm sorry if that didn't make sense! Thank you for your help!! Answered by Penny Nom.
	Exponential notation		2014-11-27
		From Jaqui: May sound super easy, but how would you SHOW that you simplified 3x3 to the power of 2 (the little 2)? thank you! Jaqui Answered by Penny Nom.
	650*(1+0.005)^96		2013-04-17
		From joAnn: i am trying to figure out how to solve a question like this for example: 650(1+.005)96 I have been doing it this way but takes forever and wanted to know a shorter way 650 x 1.005 x 1.005 x 1.005 x 1.005 96 times HELP Answered by Penny Nom.
	A cylinder is to be filled with peas.		2012-06-12
		From Silje: Hi! How can I solve the following question without the use of a calculator? "A cylinder is to be filled with peas. It is done like this: At 12:00 o'clock you put 1 pea in, at 12:01 you put 2 peas in, at 12:02 you put 4 peas in, at 12:03 you put 8 peas in, and so on. This continues until 14:00 o'clock (two hours later), when the last peas are put in and the cylinder is full. At what time is the cylinder half full?" Answered by Robert Dawson.
	81+8 to the 3 power		2012-03-08
		From KiMesha: 81+8 to the 3 power Answered by Penny Nom.
	Exponential form		2011-12-12
		From Zoey: What is the exponential form of 1/8?? Answered by Penny Nom.
	A pattern is built with cubes.		2011-02-08
		From e: A pattern is built with cubes. The first item is 1 cube. The second item is a block of 8 cubes. The third item is a block of 27 cubes. If the pattern is continued, how many cubes are needed for the fourth and fifth? Answered by Penny Nom.
	[sec^2x]*[sec^2x]		2010-12-16
		From Hari: [sec^2x]*[sec^2x]=...? Answered by Penny Nom.
	Two algebraic expressions		2010-10-29
		From chaptay: what is the difference between x(n^2) and x(n)^2 Answered by Penny Nom.
	Powers		2010-10-20
		From dylan: how do you write 20736 in exponential form .same for 1728 and 50625. is there a formula to figure out how to express large know numbers in exponential form. Answered by Penny Nom.
	(5xy)^5		2010-09-10
		From ana: (5xy)^5 Answered by Penny Nom.
	(x + a)^2		2010-06-04
		From a: If the 3rd , 4th, 5th terms in the expansion of (x + a)powe "n" are 720, 1080, 810 respectively, then find the values of x, a and n. Answered by Penny Nom.
	0.999 ^ (500)		2010-03-07
		From debra: I just need to know how to solve the following problem without using a calculator: .999 ^ (500). I know the answer is .606, I just want to do it by hand since I can't use a calculator on my test. Answered by Penny Nom and Claude Tardif.
	Evaluating -x^2 + (yz - 3)^2		2009-09-28
		From Kathy: My daughter and I are having trouble solving this equation: -x²+ (yz – 3)² if x=-4,y=2 and z=0 We are having difficulty with the -x² part of the equation. Thanks Answered by Penny Nom.
	Grain of rice on a chess board		2009-03-30
		From andy: Is there an easy way for my students to find out 8 to the power of 21 to solve the grains of rice doubling investigation on a chessboard? Any suggestions welcome. Thanks very much Answered by Robert Dawson and Claude Tardif.
	If 5 to the power of y = 625, what is y?		2009-03-02
		From Charlene: If 5 to the power of y = 625, what is y? Answered by Penny Nom.
	Comparing 2^3^4^5 ; 2^5^4^3 ; 5^4^3^2 etc.		2009-03-01
		From JIM: WHICH WOULD BE LARGEST USING THE NUMBERS 2,3,4,5 : 2^3^4^5 ; 2^5^4^3 ; 5^4^3^2 : ETC. OF ALL THE POSSIBLE COMBINATIONS ? IS THERE A GENERAL FORMULA ? I AM UNABLE TO FIND A COMPUTER THAT CAN HANDLE SUCH LARGE CALCULATIONS . I ALSO DO NOT THINK IT IS AS STRAIGHT- FORWARD AS FIRST APPEARS . THANK-YOU , JIM Answered by Stephen La Rocque, Robert Dawson and Harley Weston.
	Collecting an army		2009-02-25
		From bevaz: Question from bevaz, a student: A ruler orders his chamberlain to collect an army from 30 houses. The servant goes to the first house alone and collects one man. At each house after that he takes the same number of men as he has already collected, so at the second house he goes with one other and so on. How many men did he collect in all? Answered by Penny Nom.
	y = p q^t		2009-02-12
		From Conor: y= p x (q (to the power t) ) ; y= 100 when t = 2 and y= 4 when t= 0 a) find p and q b) hence find y when t=4 Answered by Stephen La Rocque.
	What is i^i?		2008-12-27
		From randomness: i have learnt that 'i' is square root of -1. What is then i^i ? It baffles my maths teacher... Answered by Robert Dawson and Penny Nom.
	The nth power		2008-12-12
		From Kellie: I am taking a 9th grade course yet im in 7th grade. I do not understand the nth power and i have no clue what it is. could you explain to me what it is? Answered by Robert Dawson.
	Equations with fractional powers and roots		2008-11-12
		From David: Find all real solution to each equation. x^-2/3 = 9 how do you do this if its to the power x + 1= Square root (3x +13) can you explain how to get an solution with square root? Answered by Penny Nom.
	The nth term of a sequence		2008-09-13
		From lavett: what is the Nth term in the sequence when the sequence is 2,4,8,16... and the term numbers are 1,2,3,4... Answered by Stephen La Rocque.
	2^x = 1,000,000		2008-09-06
		From Peter: How do I solve for "x" in the following equation: "2 to the power of x = 1,000,000" ? Answered by Penny Nom.
	The square root of 2 the the X power		2008-09-05
		From Peter: How can I re-write the expression: The square root of 2 the the X power? Answered by Penny Nom.
	1,679,616 as a power of 6		2008-09-03
		From Denise: express 1,679,616 in exponential form as a power of 6. Answered by Penny Nom.
	Does the sequence 1 2 4 8 16 32 etc have a name?		2008-07-17
		From Richard: Just an idle thought really. Does the simple sequence 1 2 4 8 16 32 etc have a name? Answered by Victoria West.
	Arithmetic and powers		2008-04-30
		From mom: my son and i are trying to do this problem but cant can you help please -4(-2)power of 3 -3(-4) power of 2 i hope you can help thank mom Answered by Penny Nom.
	Why does -2^2 = -4 when -2 * -2 = 4?		2008-04-22
		From blaine: Why does -2^2 = -4 when -2 * -2 = 4? Answered by Penny Nom.
	Negative Exponents		2008-01-29
		From Bill: t to the negative fourth power inside parenthesis to the ninth power OVER t to the negative fourth power inside parenthesis to the third power I am confused on how to start the problem. What I did was invert the Ts to make them positive and I then multiplied the powers. I am not sure if this is the correct process. Answered by Harley Weston.
	1/2, 1/2, 3/8, 1/4, 5/32, 3/32, 7/128		2008-01-22
		From Neil: Find the next two terms in the following number sequence 1/2, 1/2, 3/8, 1/4, 5/32, 3/32, 7/128 Find a general rule for the nth term of the sequence Answered by Penny Nom.
	Powers of 2		2007-11-28
		From Kim: Complete the following: 2 to the power of 4= 2 to the power of 3= 2 to the power of 2= 2 to the power of 1= If the pattern continues, 2 to the power of 0 = Answered by Penny Nom.
	Two power expressions		2007-09-29
		From James: find the values for a and b (a*x to the power of -1*y)(-1/2*x*y to the power of b)=6*y to the power of -6 please show me how to do this. Can I begin by taking out the powers? Answered by Leeanne Boehm.
	Is 10 to the power of 1 the same as 10?		2007-09-17
		From Mac: Is 10 to the power of 1 the same as 10? Answered by Penny Nom.
	X^3 = 3/10		2007-09-05
		From ioana: If we have X at power 3 that result equally with 3/10 haw much X is ?? Answered by Penny Nom.
	(1+i)^(2-i)		2007-04-26
		From Eilis: How do I solve (1+i) to the power of 2-i? i.e. (1+i)^(2-i) Answered by Penny Nom.
	A piece of paper is cut in half		2007-04-12
		From Jana: A piece of paper is cut in half and one piece is placed on top of the other. Then the two pieces are cut in half and one half is placed on top of the other, forming a stack of four pieces. If this process is carried out a total of 25 times and the original piece of paper is .003 inches thick, what is the height of the stack to the nearest foot. b. Using the same problem setup: Suppose now that our paper is big enough to fold 50 times. Again the question is “What is the height of the stack of paper,” but this time, “to the nearest mile.” Answered by Stephen La Rocque.
	Large exponents		2007-02-09
		From Nick: I am trying to figure out an extremely large number. It relates to the estimated number of bacterial divisions in 12775 generations of bacteria. The problem I need to solve is: 2^12775 or 2 to the power of 12,775. Answered by Stephen La Rocque and Penny Nom.
	What is the highest number possible with 3 digits?		2006-11-16
		From Liz: What is the highest number possible with 3 digits? The teacher said the answer is not 999 and that the question did not say "3-digit number." My answer then is 9 to the 99th power (written mathematically of course) as this uses "3 digits" and is obviously a huge number. Is this correct? Answered by Stephen La Rocque.
	The units digit of 12^40		2006-10-08
		From Lana: FIND THE UNITS DIGIT OF 12 TO THE POWER OF 40. Answered by Penny Nom.
	A base number raised to the power of 0		2006-08-24
		From Sheila: I'm a 5th grade teacher and need some help with a base number raised to the power of 0 always being 1. My kids asked me why and I told them I'd find out. Answered by Penny Nom.
	A problem with exponents		2006-08-09
		From A student: (8a to the negative 2 b cube c to the negative 4/4a squared b to the negative 3 c squared) to the negative 2 Answered by Stephen La Rocque.
	2 to the -5th power		2006-06-19
		From Murray: Is 2 to the -5th power = -32? Answered by Penny Nom.
	I want to calculate 0.00353 to the power 1.3		2006-05-14
		From Richard: I want to calculate 0.00353 to the power 1.3 How do I do it? Answered by Stephen La Rocque.
	Simplifying with negative exponents		2006-05-02
		From Kristine: I am having a hard time understanding factoring and multiplying polynomials. I have a couple of problems I just can't get, can you please help me? Simplify, do not use negatives in the answer: (5a-1b-7)(-2a4b2) and: (5x2y-7z)(-4xy-3z-4) Answered by Stephen La Rocque.
	Degree		2006-02-09
		From Jessica: I am a 9th grade home school student and have started doing degrees of terms in my math book. The following is some examples they give: 25a to the 4th power is a 4th degree term 67c to the 9th power is a 9th degree term x is really x to the 1st power so it is a 1st degree term 10 is really 10x to the 0 power so it is a 0 degree term They go on to say that every constant is a zero degree term. My question is why isn't a constant, like 10, simply to the 1st power (making is a 1st degree term) like x. Answered by Claude Tardif.
	-3^4 and (-3)^4		2005-12-17
		From Brad: What is the answer to -34 = ? -(3)4 = ? (-3)4 = ? Answered by Penny Nom.
	(-2^6) = ?		2005-10-29
		From Amy: My teacher gave me the problem (-26) on our homework. She marked it wrong when I wrote down -64 for an answer. She said the correct answer was 64. Can you explain why it is 64? Answered by Penny Nom and Leeanne Boehm.
	How do you differentiate y=(x)^(x^x)?		2005-09-14
		From Calebius: How do you differentiate y=(x)(xx)? Answered by Penny Nom.
	What is the ones digit of 3 to the 79 power?		2005-09-14
		From Candice: What is the ones digit of 3 to the 79 power? Answered by Penny Nom.
	Manipulating exponents		2004-10-17
		From A student: I was wondering if you can describe the steps in getting the solution to the problem below. I have the solution of 5/3 in the back of a book, but I have no idea how that answer was reached. 2raised to the 100th power + 2raised to the 98th power divided by 2raised to the 100th power - 2raised to the 98th power Answered by Penny Nom.
	Zero to the zero		2004-09-18
		From Greta: My name is Greta, and I am a 7th grader and my test is coming up. The question I would like to ask you is why 0 elevated to 0 is unidentified. Answered by Penny.
	Algebraic simplification		2004-03-31
		From Chris: Simplifying Exponents Question b^5d^2/b^3d^8 Answered by Penny Nom.
	Even-numbered roots		2004-03-01
		From A student: I understand that the square root is defined to be positive only. Does the same rule apply to other even-numbered roots, such as the 4th root, or the 6th root, etc.? Answered by Harley Weston.
	x^x^x^x^...		2004-01-23
		From Ryan: you have a number say x and it is to the power of x which is to the power of x and so on infinite times like x^x^x^x^x^x^x^... i have to figure out what x is so that the answer is always 2 Answered by Penny Nom.
	(2^ 20,966,011) - 1		2003-12-12
		From Reid: Can someone please explain, answer and/or solve this: (2^ 20,966,011) - 1 I don't know what it means, my boss sent it out, I'm assuming it is to be solved but don't know what it is, any prompt help would be appreciated, very much so, in fact, thanks,........... Answered by Penny Nom.
	Notation		2003-09-15
		From Kim: Question: i have a couple of questions 1. write in standard form a)4x2x8 b) 5 to the power of 4 . . . Answered by Penny Nom.
	The units digit of 57 to the 28th power		2003-09-01
		From Maria: If 57 is raised to the 28th power, what must be the units digit in the result? If you raise 7 to the 500th power, what is the numeral that will appear in the units digit position? Answered by Penny Nom.
	Why is 5 to the 0 power always 1?		2003-08-24
		From Crystal: Why is 5 to the 0 power always 1? Answered by Penny Nom.
	Solve x = y^z for z		2003-06-28
		From Nathan: If x = y^z is there a way to solve for z, if x and y are given, without guessing or already knowing the answer? ie: 64 = 2^z 6 is the obvious value for z. Is there a way I could solve for this variable using a formula, which would also apply when more complex values were substituted for x and y? Answered by Penny Nom.
	5 to the power n		2003-05-28
		From Sam: What is the integer n for which 5 to the n power + 5 to the n power + 5 to the n power + 5 to the n power + 5 to the n power = 5 to the 25th power? Answered by Penny Nom.
	(xy)z = 64		2003-02-26
		From Melissa: How many ordered triples of positive intergers (xyz) satisfy (x[raised to the y])raised to the z = 64? Answered by Penny Nom.
	The units digit of 2 to the power of 31921		2002-12-18
		From A student: If 2 to the power of 31921 is multiplied out, what will be the units digit? Answered by Penny Nom.
	Exponential notation		2002-10-19
		From Ivy: I understand how to figure out for example 4 to the power of 3,what I don't understand is how to figure it out using both negative numbers and negative exponents,as an exaple -4 to the power of 6 and what makes this different that (-5) to the power of 7,please help me if you can.I am an adult taking correspondence and finding it quite frustrating. Answered by Penny Nom.
	Exponent 0		2002-10-02
		From Debbi: can you please tell me what the exponent 0 is (i.e. 70) Answered by Penny Nom.
	Fractional exponents		2002-09-20
		From Jill: The problem is with fractional exponants: 10 1/3 mult. by 10,000 The 1/3 is an exponant of 10. Answered by Penny Nom.
	The number of decimal places in 1 over a power of 2		2002-09-12
		From Allan: Does anyone notice that the maximum number of decimal place of the number 2 dividing 1 and its increment (4, 8, 16...etc) is the same as the power of number 2? eg. 22=4, thus the max number of decimal of 1/4=0.25 which is 2 decimal place and 2 is the number of power of 2 take 64 as example: 26=64, and take 1/64=0.015625 which has 6 decimal place (and is the power 6) Is there such a law in math? If yes, can you tell me what it is? Or is this my discovery? Answered by Paul Betts.
	8,27,64 . . .		2002-09-05
		From Mike: We have been trying with no luck all night to complete the following math pattern (next 3 entries) 8,27,64 . . . Any ideas?? Answered by Penny Nom.
	1, 2, 4, 8, 16, 32, etc.		2002-09-04
		From Ginger: I've been working with finding the nth term for a few weeks, and i can't seem to figure this one out! 1, 2, 4, 8, 16, 32, etc. Answered by Leeanne Boehm.
	(-3)to the power 2, divided by 3		2001-10-31
		From Raz: what is (-3)to the power 2, divided by 3= Answered by Penny Nom.
	Zero as an exponent		2001-10-04
		From Wendy: How do I explain to kids that i.e. 5 exponent 0 = 1? Does 0 exponent 0 = 1? Answered by Leeanne Boehm and Penny Nom.
	Earthquake warning		2001-09-03
		From Dillon: In the city of Skangai there are 6 million people.Each person has to tell 2 more people that theres going to be an earthquake. After they do they leave the city. There will be no duplications.It takes 3 minutes to tell each person. How long will it take for the whole city to know about the earthquake? Answered by Penny Nom.
	1996^1999 and 1999^1996		2001-07-29
		From Rajesh: what is greater 19991997 or 19971999? Answered by Chris Fisher.
	Powers		2001-03-04
		From A student: Hey, can you show me how you do .. (2xy)to the 3rd power (x) to the 2nd power? Answered by Penny Nom.
	Exponents		2001-01-14
		From A student: I am wondering if a number raised to the second power is "squared" and a number raised to the third power is "cubed" is there a name for any number raised to any other power. Answered by Harley Weston.
	Manipulating powers		2000-09-13
		From Phil: 21/5 x 42/5 = ? Answered by Penny Nom.
	Powers of i		2000-05-24
		From Paul Fieldhouse: What is the result of raising i to the googol power? is there a rule or pattern to raising i by increasing powers of 10? Answered by Penny Nom.
	The units digit of 3 to the 58th power		2000-05-10
		From Kylie Mcalpine: the questions we have been asked are what is the units digit of the following: a) 358 b) 2358 c) 1731 and the harder question of: what is the units digit of the following sum: 13841 + 17508 + 24617 = ??????? Answered by Paul Betts and Penny Nom.
	Factoring ^6		2000-01-03
		From Athena: my name is Athena and I have a question on factoring: how would you figure this out: (x6-y6) and (x6+y6) Answered by Penny Nom.
	Zero to the zero		1999-12-02
		From A middle school teacher: I am a middle school teacher who is looking for a precise explanation of why zero raised to the zero power is undefined. I am hoping to get an explanation using something other than the fact that diividing by zero is undefined. Answered by Penny Nom.
	Get rich quick		1999-12-02
		From Holly Hutson: If one cent were placed in an investment that doubles in value every day, what would be the value of the investment at the end of 30 days? Answered by Penny Nom.
	Powers of zero		1999-10-31
		From Salina Young: Hello! I have two questions to ask about the power of "0". First, what is the value of "0' to the power of "0"? And why? Second, what is the value of "0" to the power of "2" or '3" etc? And why? Thank you for your help. Answered by Walter Whiteley and Harley Weston.
	(-5)^2, -5^2 and -(5)^2		1999-10-13
		From Jennifer Brown: What is the difference between the following problems: (-5)2, -52 and -(5)2 Our text book (Beginning Algebra, fourth edition, published by McGraw Hill, by Streeter, Huthison and Hoetzle) says the second and third problem are exactly the same. I don't see how that can be. Is there a mathematical rule that explains this? Answered by Penny Nom.
	Spreading a rumor		1999-09-13
		From Bornstar14: There is someone who wants to spread a rumor within 7 days to 250,000,000 people. he wants to know how many people he should tell on the first day (assuming the rumor is passed by everyone who was told to the same amount of people) so that everyone knows on the 7th day. What I did is the 7th root of 250,000,000. this answer is not possible unless rounded. is it okay for the number to be approximate? Answered by Penny Nom.
	A problem with powers		1999-06-01
		From Bill: solve for the variable: 5-x = 25x+6 Answered by Penny Nom.
	3 to the power of 1994		1998-09-05
		From Kim Tangney: What are the last two digits of: 3 to the power of 1994 7 to the power of 1994 3 to the power of 1994 + 7 to the power of 1994 7 to the power of 1994 - 3 to the power of 1994 Answered by Penny Nom.
	15 to the zero		1998-06-24
		From Mike Husken: My daughter has the problem: 15 with an exponent of zero=1. Could you help explain why? I would appreciate an answer soon as she has class tomorrow. thanks, Answered by Penny Nom and Patrick Maidorn.
	(50^20)(20^50)		1998-02-24
		From fion: 50 power of 20 X 20 power of 50? How many zero can be found in the answer and why? Answered by Penny Nom.
	Diagramming Powers		1997-10-15
		From David Fill: I am a teacher in Massachusettes. We have been diagramming numbers such as two to the third (a 3-D cube). One of my students asked me how you would diagram two to the fourth. I have searched through all of my teachers books and cannot seem to find the answer to this question. Is there a way to diagram this? If there is, how would you do this? Your help would be greatly appreciated. Answered by Penny Nom.
	Exponents		1996-02-25
		From Eric Cote: I want to know why the grade six math books tell you that the little number at the top right of another number (exponent) is called the power, but the grade seven and up books tell you it's called the exponent? Answered by Harley Weston.
	Exposant à la 0		2000-07-04
		From Sylvie: J'aimerais savoir combien fait 0 exposant 0. Answered by Claude Tardif.

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