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| Math Central | Quandaries & Queries |
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Hi is (x^6)(x^4)1/2 = 5 And How does 1/2(3.14)(4.1) =26.3917 |
Cynthia, we have two responses for you:
Hi Cynthia,
I am not sure what you are asking with the first question. Are you to solve for x?
For the second question 1/2(3.14)(4.1) is not 26.3917. Try 1/2(3.14)(4.1)^2
Penny
Hi Cynthia.
For your first question, did you mean to ask if ( (x6 )(x4 ) )½ = x5 ?
If so, then the answer is yes, because when you first combine (x6 )(x4 ) you use the exponent rule of multiplication: add the exponents, so this is (x10). Then when you take this to the exponent of ½, you use the exponent rule of exponents: multiply the exponents. Since 10
½ = 5 , then (x10)½ = x5.
Stephen La Rocque.>
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