Algebra Examples

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

Step 1

Multiply the numerator by the reciprocal of the denominator.

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

Step 2

Multiply $\frac{1}{2} \cdot \frac{1}{2}$ .

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Step 2.1

Multiply $\frac{1}{2}$ by $\frac{1}{2}$ .

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

Step 2.2

Multiply $2$ by $2$ .

${(\frac{1}{4})}^{2}$

Step 3

Apply the product rule to $\frac{1}{4}$ .

$\frac{1^{2}}{4^{2}}$

Step 4

One to any power is one.

$\frac{1}{4^{2}}$

Step 5

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

$\frac{1}{16}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{16}$

Decimal Form:

$0.0625$