Find the Exact Value (3^2)^3

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

Step 1

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

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

$3^{2 \cdot 3}$

Multiply $2$ by $3$ .

$3^{6}$

Step 2

Raise $3$ to the power of $6$ .

$729$