SOLUTION: -32 ^ (-6/5): To make the exponent positive, we write expression in the denominator, getting 1/-32^6/5. Then, the fifth root of -32 is -2, and -2 raised to the sixth power equal

Question 686266: -32 ^ (-6/5): To make the exponent positive, we write expression in the denominator, getting 1/-32^6/5. Then, the fifth root of -32 is -2, and -2 raised to the sixth power equals positive 64. So the answer seems to be 1/64. Yet the answer provided is -(1/64). Why? Thank you very much for your help.
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
-32 ^ (-6/5): To make the exponent positive, we write expression in the denominator, getting 1/-32^6/5. Then, the fifth root of -32 is -2, and -2 raised to the sixth power equals positive 64. So the answer seems to be 1/64. Yet the answer provided is -(1/64). Why? Thank you very much for your help.
.
Because, from the "order of operations" the negative sign is NOT part of the term is has the exponentiation... that is:
-32^(-6/5)
is really:
-(32^(-6/5))
-(1/64)
-1/64

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