Basic Math Examples

${(3 - 5)}^{2} \div {(6 - 2)}^{2}$

Step 1

Rewrite the division as a fraction.

$\frac{{(3 - 5)}^{2}}{{(6 - 2)}^{2}}$

Step 2

Simplify the numerator.

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Step 2.1

Subtract $5$ from $3$ .

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

Step 2.2

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

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

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

Step 3

Simplify the denominator.

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Step 3.1

Subtract $2$ from $6$ .

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

Step 3.2

Raise $4$ to the power of $2$ .

$\frac{4}{16}$

$\frac{4}{16}$

Step 4

Cancel the common factor of $4$ and $16$ .

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Step 4.1

Factor $4$ out of $4$ .

$\frac{4 (1)}{16}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor $4$ out of $16$ .

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

Step 4.2.2

Cancel the common factor.

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

Step 4.2.3

Rewrite the expression.

$\frac{1}{4}$

$\frac{1}{4}$

$\frac{1}{4}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{4}$

Decimal Form:

$0.25$

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