Basic Math Examples

{(\frac{4}{3})}^{- 2}

${(\frac{4}{3})}^{- 2}$

Step 1

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

{(\frac{3}{4})}^{2}

${(\frac{3}{4})}^{2}$

Step 2

Apply the product rule to

\frac{3}{4}

$\frac{3}{4}$ .

\frac{3^{2}}{4^{2}}

$\frac{3^{2}}{4^{2}}$

Step 3

Raise

3

$3$ to the power of

2

$2$ .

\frac{9}{4^{2}}

$\frac{9}{4^{2}}$

Step 4

Raise

4

$4$ to the power of

2

$2$ .

\frac{9}{16}

$\frac{9}{16}$

Step 5

The result can be shown in multiple forms.

Exact Form:

\frac{9}{16}

$\frac{9}{16}$

Decimal Form:

0.5625

$0.5625$