Basic Math Examples

{(- \frac{8}{9})}^{2}

${(- \frac{8}{9})}^{2}$

Step 1

Use the power rule

{(a b)}^{n} = a^{n} b^{n}

${(a b)}^{n} = a^{n} b^{n}$ to distribute the exponent.

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Step 1.1

Apply the product rule to

- \frac{8}{9}

$- \frac{8}{9}$ .

{(- 1)}^{2} {(\frac{8}{9})}^{2}

${(- 1)}^{2} {(\frac{8}{9})}^{2}$

Step 1.2

Apply the product rule to

\frac{8}{9}

$\frac{8}{9}$ .

{(- 1)}^{2} \frac{8^{2}}{9^{2}}

${(- 1)}^{2} \frac{8^{2}}{9^{2}}$

{(- 1)}^{2} \frac{8^{2}}{9^{2}}

${(- 1)}^{2} \frac{8^{2}}{9^{2}}$

Step 2

Raise

- 1

$- 1$ to the power of

2

$2$ .

1 \frac{8^{2}}{9^{2}}

$1 \frac{8^{2}}{9^{2}}$

Step 3

Multiply

\frac{8^{2}}{9^{2}}

$\frac{8^{2}}{9^{2}}$ by

1

$1$ .

\frac{8^{2}}{9^{2}}

$\frac{8^{2}}{9^{2}}$

Step 4

Raise

8

$8$ to the power of

2

$2$ .

\frac{64}{9^{2}}

$\frac{64}{9^{2}}$

Step 5

Raise

9

$9$ to the power of

2

$2$ .

\frac{64}{81}

$\frac{64}{81}$

Step 6

The result can be shown in multiple forms.

Exact Form:

\frac{64}{81}

$\frac{64}{81}$

Decimal Form:

0.79012345 \dots

$0.79012345 \dots$