Algebra Examples

{(\frac{2}{3})}^{- 3}

${(\frac{2}{3})}^{- 3}$

Step 1

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

{(\frac{3}{2})}^{3}

${(\frac{3}{2})}^{3}$

Step 2

Apply the product rule to

\frac{3}{2}

$\frac{3}{2}$ .

\frac{3^{3}}{2^{3}}

$\frac{3^{3}}{2^{3}}$

Step 3

Raise

3

$3$ to the power of

3

$3$ .

\frac{27}{2^{3}}

$\frac{27}{2^{3}}$

Step 4

Raise

2

$2$ to the power of

3

$3$ .

\frac{27}{8}

$\frac{27}{8}$

Step 5

The result can be shown in multiple forms.

Exact Form:

\frac{27}{8}

$\frac{27}{8}$

Decimal Form:

3.375

$3.375$

Mixed Number Form:

3 \frac{3}{8}

$3 \frac{3}{8}$