College Algebra 7th Edition

No, $(\frac{2}{3})^{-2}$ is not equal to $3^{4}$. Yes, there is difference between $(-5)^{4}$ and $-5^{4}$.
A. $(\frac{2}{3})^{-2}$ = $(\frac{3}{2})^{2}$ = $\frac{3\times3}{2\times2}$ = $\frac{9}{4}$ which $\ne$ $\frac{3}{4}$ B. Here, $(-5)^{4}$ = $(-5)\times(-5)\times(-5)\times(-5)$ = 625 $-5^{4}$ = -($5\times5\times5\times5$) = -625 and 625 $\ne$ -625, so there is difference between $(-5)^{4}$ and$-5^{4}$.