[tex](- \frac{2}{3} )^-2 \\ \\ \frac{1}{ (-\frac{2}{3})^2} \ / \ negative \ power \ rule \\ \\ \frac{1}{ (\frac{2}{3})^2 } \ / \ \ power \ of \ 2 \ is \ even, \ result \ will \ be \ positive \\ \\ \frac{1}{ \frac{2^2}{3^2} } \ / \ distributive \ property \ of \ division \\ \\ \frac{1}{ \frac{4}{9} } \ / \ simplify \\ \\ \frac{9}{4} \ / \ reverse \ and \ multiply[/tex]
The answer to this problem is 9/4 or 2.25.
