Answer:
8
Step-by-step explanation:
We are given the following expression and we are to find the simplest form of this expression:
[tex] - 3 2 ^ { \frac { 3 } { 5 } } [/tex]
First of all, we will factor the coefficient:
[tex] 3 2 = 2 ^ 5 [/tex]
Rewriting it as:
[tex] - ( 2 ^ 5 ) ^ { \frac { 3 } { 5 } }[/tex]
Applying the exponent rule [tex](a^b)^c = a^{bc}[/tex] to get:
[tex]-2^{5.\frac{3}{5}}=-2^3[/tex]
[tex]-2^3=-8[/tex]
