Question

Which expression is equivalent to -32 to 3/5 power

Answer 1

Answer:

8

Step-by-step explanation:

We are given the following expression and we are to find the simplest form of this expression:

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

First of all, we will factor the coefficient:

$3 2 = 2 ^ 5$

Rewriting it as:

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

Applying the exponent rule $(a^b)^c = a^{bc}$ to get:

$-2^{5.\frac{3}{5}}=-2^3$

$-2^3=-8$