Basic Math Examples

${(\frac{6}{7 - 3})}^{2}$

Step 1

Subtract $3$ from $7$ .

${(\frac{6}{4})}^{2}$

Step 2

Cancel the common factor of $6$ and $4$ .

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Step 2.1

Factor $2$ out of $6$ .

${(\frac{2 (3)}{4})}^{2}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $2$ out of $4$ .

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

Step 2.2.2

Cancel the common factor.

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

Step 2.2.3

Rewrite the expression.

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

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

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

Step 3

Simplify the expression.

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Step 3.1

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

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

Step 3.2

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

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

Step 3.3

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

$\frac{9}{4}$

$\frac{9}{4}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{9}{4}$

Decimal Form:

$2.25$

Mixed Number Form:

$2 \frac{1}{4}$

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