Simplify (4a^2)^2(b^3)

${(4 a^{2})}^{2} (b^{3})$

Step 1

Apply the product rule to $4 a^{2}$ .

$4^{2} {(a^{2})}^{2} b^{3}$

Step 2

Raise $4$ to the power of $2$ .

$16 {(a^{2})}^{2} b^{3}$

Step 3

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

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

$16 a^{2 \cdot 2} b^{3}$

Multiply $2$ by $2$ .

$16 a^{4} b^{3}$