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

ANSWER

A. -8

EXPLANATION

The given expression is;

${ - 32}^{ \frac{3}{5} }$

This is the same as;

$( { - {2}^{5} })^{ \frac{3}{5} }$

The exponents can now multiply to give;

$- {2}^{5 \times \frac{3}{5} }$

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

$- 2 ^{3}$

$= - 8$

The correct answer is A.