simplify. $(-32)^{\frac{3}{5}}$

simplify. $(-32)^{\frac{3}{5}}$

simplify. $(-32)^{\frac{3}{5}}$

Answer

Explanation:

Step1: Rewrite base as power of 5

$-32 = (-2)^5$

Step2: Apply exponent power rule

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

Step3: Simplify the exponent

$(-2)^{3} = -8$

Answer:

$-8$