simplify.\n32^{\frac{2}{5}}

Explanation:

Step1: Rewrite 32 as a power of 2

$32 = 2^5$, so $32^{\frac{2}{5}}=(2^5)^{\frac{2}{5}}$

Step2: Apply power - of - a - power rule

According to the rule $(a^m)^n=a^{mn}$, we have $(2^5)^{\frac{2}{5}}=2^{5\times\frac{2}{5}}$

Step3: Calculate the exponent

$5\times\frac{2}{5}=2$, so $2^{5\times\frac{2}{5}} = 2^2$

Step4: Evaluate $2^2$

$2^2=4$

Answer:

4