Evaluate (2ab)^3

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

Step 1

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

Apply the product rule to $2 a b$ .

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

Apply the product rule to $2 a$ .

$2^{3} a^{3} b^{3}$

Step 2

Raise $2$ to the power of $3$ .

$8 a^{3} b^{3}$