Basic Math Examples

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

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

Step 1

Move the negative in front of the fraction.

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

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

Step 2

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 2.1

Apply the product rule to

- \frac{1}{5}

$- \frac{1}{5}$ .

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

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

Step 2.2

Apply the product rule to

\frac{1}{5}

$\frac{1}{5}$ .

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

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

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

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

Step 3

Raise

- 1

$- 1$ to the power of

4

$4$ .

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

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

Step 4

Multiply

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

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

1

$1$ .

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

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

Step 5

One to any power is one.

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

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

Step 6

Raise

5

$5$ to the power of

4

$4$ .

\frac{1}{625}

$\frac{1}{625}$

Step 7

The result can be shown in multiple forms.

Exact Form:

\frac{1}{625}

$\frac{1}{625}$

Decimal Form:

0.0016

$0.0016$