Simplify (4/3)^-2

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

Step 1

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

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

Step 2

Apply the product rule to $\frac{3}{4}$ .

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

Step 3

Raise $3$ to the power of $2$ .

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

Step 4

Raise $4$ to the power of $2$ .

$\frac{9}{16}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{9}{16}$

Decimal Form:

$0.5625$