Pre-Algebra Examples

${(7 + 1)}^{2} \div {(8 - 6)}^{2}$

Step 1

Rewrite the division as a fraction.

$\frac{{(7 + 1)}^{2}}{{(8 - 6)}^{2}}$

Step 2

Simplify the numerator.

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Step 2.1

Add $7$ and $1$ .

$\frac{8^{2}}{{(8 - 6)}^{2}}$

Step 2.2

Raise $8$ to the power of $2$ .

$\frac{64}{{(8 - 6)}^{2}}$

$\frac{64}{{(8 - 6)}^{2}}$

Step 3

Simplify the denominator.

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Step 3.1

Subtract $6$ from $8$ .

$\frac{64}{2^{2}}$

Step 3.2

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

$\frac{64}{4}$

$\frac{64}{4}$

Step 4

Divide $64$ by $4$ .

$16$

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