Question

Which expression is equivalent to -32 over3/5

Answer 1

-8

Explanation:

When you raise a base to fractional exponent, the exponent means exponent/index:

base^(exponent/index)

Thus, -32^(3/5) is the same as taking the fifth root of (-32)^3:

`(-32)^(^3^/^5^)\\\sqrt[5]{(-32)^3}\\ \sqrt[5]{(-32768)}\\ -8`

Thus, -8 is equivalent to (-32)^(3/5)