Evaluate (N^4)^(3/2)

${(N^{4})}^{\frac{3}{2}}$

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$N^{4 (\frac{3}{2})}$

Cancel the common factor of $2$ .

Factor $2$ out of $4$ .

$N^{2 (2) \frac{3}{2}}$

Cancel the common factor.

$N^{2 \cdot 2 \frac{3}{2}}$

Rewrite the expression.

$N^{2 \cdot 3}$

Multiply $2$ by $3$ .

$N^{6}$