Basic Math Examples

${(3 \cdot (\frac{1}{2}))}^{2}$

Step 1

Combine $3$ and $\frac{1}{2}$ .

${(\frac{3}{2})}^{2}$

Step 2

Simplify the expression.

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Step 2.1

Apply the product rule to $\frac{3}{2}$ .

$\frac{3^{2}}{2^{2}}$

Step 2.2

Raise $3$ to the power of $2$ .

$\frac{9}{2^{2}}$

Step 2.3

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

$\frac{9}{4}$

$\frac{9}{4}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{9}{4}$

Decimal Form:

$2.25$

Mixed Number Form:

$2 \frac{1}{4}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$