Simplify ((2x)^3)^3

${({(2 x)}^{3})}^{3}$

Step 1

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

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

${(2 x)}^{3 \cdot 3}$

Multiply $3$ by $3$ .

${(2 x)}^{9}$

Step 2

Apply the product rule to $2 x$ .

$2^{9} x^{9}$

Step 3

Raise $2$ to the power of $9$ .

$512 x^{9}$