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)
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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) (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
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