Write the Fraction in Simplest Form (2/3)^-2

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

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

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

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

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

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

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

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

$\frac{9}{4}$