Evaluate Using the Given Value f(-2)=-(3/4)^-2

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

Step 1

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

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

Step 2

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

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

Step 3

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

$f (- 2) = - \frac{16}{3^{2}}$

Step 4

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

$f (- 2) = - \frac{16}{9}$