Evaluate ((8x^2)/(2x^2))^2

${(\frac{8 x^{2}}{2 x^{2}})}^{2}$

Step 1

Cancel the common factor of $8$ and $2$ .

Factor $2$ out of $8 x^{2}$ .

${(\frac{2 (4 x^{2})}{2 x^{2}})}^{2}$

Cancel the common factors.

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

${(\frac{2 (4 x^{2})}{2 (x^{2})})}^{2}$

Cancel the common factor.

${(\frac{2 (4 x^{2})}{2 x^{2}})}^{2}$

Rewrite the expression.

${(\frac{4 x^{2}}{x^{2}})}^{2}$

${(\frac{4 x^{2}}{x^{2}})}^{2}$

${(\frac{4 x^{2}}{x^{2}})}^{2}$

Step 2

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

Cancel the common factor.

${(\frac{4 x^{2}}{x^{2}})}^{2}$

Divide $4$ by $1$ .

$4^{2}$

$4^{2}$

Step 3

Raise $4$ to the power of $2$ .

$16$

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