Algebra Examples

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

Step 1

Simplify the denominator.

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Step 1.1

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

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

Step 1.2

One to any power is one.

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

Step 1.3

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

$\frac{1}{\frac{1}{4}}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$1 \cdot 4$

Step 3

Multiply $4$ by $1$ .

$4$