Evaluate the Function f(x)=(2/3)^-2

$f (x) = {(\frac{2}{3})}^{- 2}$

Step 1

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

$f (x) = {(\frac{3}{2})}^{2}$

Step 2

Apply the product rule to $\frac{3}{2}$ .

$f (x) = \frac{3^{2}}{2^{2}}$

Step 3

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

$f (x) = \frac{9}{2^{2}}$

Step 4

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

$f (x) = \frac{9}{4}$