Basic Math Examples

{(- \frac{4}{5})}^{4}

${(- \frac{4}{5})}^{4}$

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{4}{5}

$- \frac{4}{5}$ .

{(- 1)}^{4} {(\frac{4}{5})}^{4}

${(- 1)}^{4} {(\frac{4}{5})}^{4}$

Step 1.2

Apply the product rule to

\frac{4}{5}

$\frac{4}{5}$ .

{(- 1)}^{4} \frac{4^{4}}{5^{4}}

${(- 1)}^{4} \frac{4^{4}}{5^{4}}$

{(- 1)}^{4} \frac{4^{4}}{5^{4}}

${(- 1)}^{4} \frac{4^{4}}{5^{4}}$

Step 2

Raise

- 1

$- 1$ to the power of

4

$4$ .

1 \frac{4^{4}}{5^{4}}

$1 \frac{4^{4}}{5^{4}}$

Step 3

Multiply

\frac{4^{4}}{5^{4}}

$\frac{4^{4}}{5^{4}}$ by

1

$1$ .

\frac{4^{4}}{5^{4}}

$\frac{4^{4}}{5^{4}}$

Step 4

Raise

4

$4$ to the power of

4

$4$ .

\frac{256}{5^{4}}

$\frac{256}{5^{4}}$

Step 5

Raise

5

$5$ to the power of

4

$4$ .

\frac{256}{625}

$\frac{256}{625}$

Step 6

The result can be shown in multiple forms.

Exact Form:

\frac{256}{625}

$\frac{256}{625}$

Decimal Form:

0.4096

$0.4096$