Evaluate ((2^23^2)/(32^2))^2

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

Step 1

Cancel the common factor of $2^{2}$ .

Cancel the common factor.

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

Rewrite the expression.

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

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

Step 2

Cancel the common factor of $3^{2}$ and $3$ .

Factor $3$ out of $3^{2}$ .

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

Cancel the common factors.

Factor $3$ out of $3$ .

${(\frac{3 \cdot 3}{3 (1)})}^{2}$

Cancel the common factor.

${(\frac{3 \cdot 3}{3 \cdot 1})}^{2}$

Rewrite the expression.

${(\frac{3}{1})}^{2}$

Divide $3$ by $1$ .

$3^{2}$

$3^{2}$

$3^{2}$

Step 3

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

$9$

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