Question

simplify. 4^{\frac{3}{2}}

Explanation:

Step1: Recall exponent rule

$a^{\frac{m}{n}}=\sqrt[n]{a^{m}}$. Here $a = 4$, $m = 3$, $n=2$. So $4^{\frac{3}{2}}=\sqrt{4^{3}}$.

Step2: Calculate $4^{3}$

$4^{3}=4\times4\times4 = 64$.

Step3: Calculate square - root

$\sqrt{64}=8$.

Answer:

$8$