Evaluate (1/2)^2+(1/2)^2

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

Step 1

Simplify each term.

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

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

One to any power is one.

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

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

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

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

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

One to any power is one.

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

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

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

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

Step 2

Simplify terms.

Combine the numerators over the common denominator.

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

Add $1$ and $1$ .

$\frac{2}{4}$

Cancel the common factor of $2$ and $4$ .

Factor $2$ out of $2$ .

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

Cancel the common factors.

Factor $2$ out of $4$ .

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

Cancel the common factor.

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

Rewrite the expression.

$\frac{1}{2}$

$\frac{1}{2}$

$\frac{1}{2}$

$\frac{1}{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{2}$

Decimal Form:

$0.5$

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