For this case we must simplify the following expression:
[tex]-32 ^ {\frac {3} {5}}[/tex]
We can rewrite the 32 as [tex]2 ^ 5 = 2 * 2 * 2 * 2 * 2[/tex]
So:
[tex]- (2 ^ 5) ^ {\frac {3} {5}}[/tex]
By definition of power properties we have to:
[tex](a ^ n) ^ m = a ^ {n * m}[/tex]
So:
[tex]- (2 ^ 5) ^ {\frac {3} {5}} = - 2 ^ {\frac {15} {5}} = - 2 ^ 3 = -2 * -2 * -2 = -8[/tex]
Answer:
-8
