Find the Product (-3ab^2)^3

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

Use the power rule ${(a b)}^{n} = a^{n} b^{n}$ to distribute the exponent.

Apply the product rule to $- 3 a b^{2}$ .

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

Apply the product rule to $- 3 a$ .

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

Raise $- 3$ to the power of $3$ .

$- 27 a^{3} {(b^{2})}^{3}$

Multiply the exponents in ${(b^{2})}^{3}$ .

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

$- 27 a^{3} b^{2 \cdot 3}$

Multiply $2$ by $3$ .

$- 27 a^{3} b^{6}$