Algebra Examples

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

Step 1

Simplify each term.

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Step 1.1

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

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

Step 1.2

One to any power is one.

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

Step 1.3

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

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

Step 2

Simplify the expression.

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Step 2.1

Write $1$ as a fraction with a common denominator.

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

Step 2.2

Combine the numerators over the common denominator.

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

Step 2.3

Subtract $1$ from $4$ .

$\frac{3}{4}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{4}$

Decimal Form:

$0.75$