Simplify (fg^2)^4

${(f g^{2})}^{4}$

Step 1

Apply the product rule to $f g^{2}$ .

$f^{4} {(g^{2})}^{4}$

Step 2

Multiply the exponents in ${(g^{2})}^{4}$ .

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

$f^{4} g^{2 \cdot 4}$

Multiply $2$ by $4$ .

$f^{4} g^{8}$