SOLUTION: Evaluate the expression without using a calculator. I know the answer is 1/16 but I don't know how to get there. 32^(-4/5)

Algebra ->  Square-cubic-other-roots -> SOLUTION: Evaluate the expression without using a calculator. I know the answer is 1/16 but I don't know how to get there. 32^(-4/5)      Log On


   

Question 50543This question is from textbook Blitzer College Algebra Essentials
: Evaluate the expression without using a calculator. I know the answer is 1/16 but I don't know how to get there.
32^(-4/5) This question is from textbook Blitzer College Algebra Essentials

Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
1 / 32^(4/5)
1 / fifth root of (32^4)
1 / fifth root of (2 * 2 * 2 * 2 * 2)^4
1 / fifth root of (2^4 * 2^4 * 2^4 * 2^4 * 2^4)
1 / fifth root of (2^5 2^3 2^4 2^4 2^4)
1 / fifth root of (2^5 2^5 2^2 2^4 2^4)
1 / fifth root of (2^5 2^5 2^5 2^1 2^4)
1 / fifth root of (2^5 2^5 2^5 2^5)
1 / 2*2*2*2 = 1/16