SOLUTION: I'm to use properties of rational exponents to simplify the expression, and assume all variables represent positive numbers. (2x^1/5)^5 I got 2x^(1/5)(5/1) I cancelled out t

Algebra ->  Radicals -> SOLUTION: I'm to use properties of rational exponents to simplify the expression, and assume all variables represent positive numbers. (2x^1/5)^5 I got 2x^(1/5)(5/1) I cancelled out t      Log On


   

Question 656517: I'm to use properties of rational exponents to simplify the expression, and assume all variables represent positive numbers.
(2x^1/5)^5
I got 2x^(1/5)(5/1)
I cancelled out the 5s and was left with just 2x, however, the book says it should be 32x. I know 2^5 is 32, but how would I raise it to the 5th power if I cancelled it out?
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
%282x%5E%281%2F5%29%29%5E5
Your error is in the first step. The correct first step is to use the %28a%2Ab%29%5En+=+a%5En%2Ab%5En rule:
2%5E5%2A%28x%5E%281%2F5%29%29%5E5
Now you have the 32 and the 5's that cancel.