



 
Hi Dylan, There may be many ways to write a number in exponential form. For examples
Each of these is in exponential form since it uses exponents (powers). I expect that you want to express the numbers you have as powers of primes so for 16 you wound get 16 = 2^{4}. There is no easy way to write a number as a product of primes. You can start by dividing by small primes and see where that gets you. This is what Stephen did in his response to a similar question. With your numbers I know where to start. 20736 and 1728 are even so you can divide by 2 and proceed. 50625 has 5 as its last digit so it is divisible by 5. Hence you can divide by 5 and proceed. Here I have used the facts
There are two other fact that you might find useful
Hence for your number 1728, 1 + 7 + 2 + 8 = 18 which is divisible by 9 so 1728 is divisible by 9, thus
1 + 9 + 2 = 12 which is divisible by 3 so 192 is divisible by 3, and thus
But 64 = 8^{2} and 8 = 2^{3} so I get
Now try the other two numbers. Penny  


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