Basic Math Examples

{(\frac{11}{- 7})}^{4}

${(\frac{11}{- 7})}^{4}$

Step 1

Move the negative in front of the fraction.

{(- \frac{11}{7})}^{4}

${(- \frac{11}{7})}^{4}$

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{11}{7}

$- \frac{11}{7}$ .

{(- 1)}^{4} {(\frac{11}{7})}^{4}

${(- 1)}^{4} {(\frac{11}{7})}^{4}$

Step 2.2

Apply the product rule to

\frac{11}{7}

$\frac{11}{7}$ .

{(- 1)}^{4} \frac{11^{4}}{7^{4}}

${(- 1)}^{4} \frac{11^{4}}{7^{4}}$

{(- 1)}^{4} \frac{11^{4}}{7^{4}}

${(- 1)}^{4} \frac{11^{4}}{7^{4}}$

Step 3

Raise

- 1

$- 1$ to the power of

4

$4$ .

1 \frac{11^{4}}{7^{4}}

$1 \frac{11^{4}}{7^{4}}$

Step 4

Multiply

\frac{11^{4}}{7^{4}}

$\frac{11^{4}}{7^{4}}$ by

1

$1$ .

\frac{11^{4}}{7^{4}}

$\frac{11^{4}}{7^{4}}$

Step 5

Raise

11

$11$ to the power of

4

$4$ .

\frac{14641}{7^{4}}

$\frac{14641}{7^{4}}$

Step 6

Raise

7

$7$ to the power of

4

$4$ .

\frac{14641}{2401}

$\frac{14641}{2401}$

Step 7

The result can be shown in multiple forms.

Exact Form:

\frac{14641}{2401}

$\frac{14641}{2401}$

Decimal Form:

6.09787588 \dots

$6.09787588 \dots$

Mixed Number Form:

6 \frac{235}{2401}

$6 \frac{235}{2401}$

{(\frac{11}{- 7})}^{4}

${(\frac{11}{- 7})}^{4}$

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

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