Evaluate (2/(2^2))^2

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

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

Factor $2$ out of $2$ .

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

Cancel the common factors.

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

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

Simplify the expression.

Apply the product rule to $\frac{1}{2}$ .

$\frac{1^{2}}{2^{2}}$

One to any power is one.

$\frac{1}{2^{2}}$

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

$\frac{1}{4}$

$\frac{1}{4}$

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{4}$

Decimal Form:

$0.25$

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