Algebra Examples

{(\frac{4}{5})}^{- 3}

${(\frac{4}{5})}^{- 3}$

Step 1

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

{(\frac{5}{4})}^{3}

${(\frac{5}{4})}^{3}$

Step 2

Apply the product rule to

\frac{5}{4}

$\frac{5}{4}$ .

\frac{5^{3}}{4^{3}}

$\frac{5^{3}}{4^{3}}$

Step 3

Raise

5

$5$ to the power of

3

$3$ .

\frac{125}{4^{3}}

$\frac{125}{4^{3}}$

Step 4

Raise

4

$4$ to the power of

3

$3$ .

\frac{125}{64}

$\frac{125}{64}$

Step 5

The result can be shown in multiple forms.

Exact Form:

\frac{125}{64}

$\frac{125}{64}$

Decimal Form:

1.953125

$1.953125$

Mixed Number Form:

1 \frac{61}{64}

$1 \frac{61}{64}$