Question

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

Answer 1

8

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.(3)/(5)}=-2^3`

`-2^3=-8`