Question

Which expression is equivalent to -32^3/5?
A.-8
B.-^3 square root 32^5

Answer 1

-32^3/5;

A. -8 is equivalent to -32^3/5

Answer 2

A. -8

Step-by-step explanation

The given expression is;

`{ - 32}^{ (3)/(5) }`

This is the same as;

`( { - {2}^(5) })^{ (3)/(5) }`

The exponents can now multiply to give;

`- {2}^{5 * (3)/(5) }`

We cancel out the common factors in the exponents to get,

`- 2 ^(3)`

`= - 8`

The correct answer is A.