Question

Please help me with this !

Answer 1

For this case we must simplify the following expression:

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

We can rewrite the 32 as
`2 ^ 5 = 2 * 2 * 2 * 2 * 2`

So:

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

By definition of power properties we have to:

`(a ^ n) ^ m = a ^ {n * m}`

So:

`- (2 ^ 5) ^ {\frac {3} {5}} = - 2 ^ {\frac {15} {5}} = - 2 ^ 3 = -2 * -2 * -2 = -8`

Answer:

-8

Answer 2

-8 is the solution

Explanation:

`-32(3)/(5)=-8`

`((-32)^{(1)/(5)})^(3)\\\\-2^(3)=-8`