Basic Math Examples

{(\frac{7}{8})}^{- 3}

${(\frac{7}{8})}^{- 3}$

Step 1

Change the sign of the exponent by rewriting the base as its reciprocal.

{(\frac{8}{7})}^{3}

${(\frac{8}{7})}^{3}$

Step 2

Apply the product rule to

\frac{8}{7}

$\frac{8}{7}$ .

\frac{8^{3}}{7^{3}}

$\frac{8^{3}}{7^{3}}$

Step 3

Raise

8

$8$ to the power of

3

$3$ .

\frac{512}{7^{3}}

$\frac{512}{7^{3}}$

Step 4

Raise

7

$7$ to the power of

3

$3$ .

\frac{512}{343}

$\frac{512}{343}$

Step 5

The result can be shown in multiple forms.

Exact Form:

\frac{512}{343}

$\frac{512}{343}$

Decimal Form:

1.49271137 \dots

$1.49271137 \dots$

Mixed Number Form:

1 \frac{169}{343}

$1 \frac{169}{343}$

{(\frac{7}{8})}^{- 3}

${(\frac{7}{8})}^{- 3}$

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