Question

please solve this problem ​

Answer 1

Step-by-step explanation:

$1) {9}^{ \frac{3}{2} } \\ \implies {3}^{ \cancel{2} \times \frac{3}{ \cancel{2}} } \\ \implies {3}^{3} \\ \implies27 \\ \\ 2) {32}^{ \frac{2}{5} } \\ \implies {2}^{\cancel{5} \times \frac{2}{\cancel{5}} } \\ \implies {2}^{2} \\ \implies4 \\ \\ 3) {16}^{ \frac{3}{4} } \\ \implies {2}^{\cancel{4} \times \frac{3}{\cancel{4}} } \\ \implies {2}^{3} \\ \implies8 \\ \\ 4) {125}^{ \frac{ - 1}{3} } \\ \implies {5}^{ \cancel{3} \times \frac{ - 1}{ \cancel{3}} } \\ \implies {5}^{ - 1} \\ \implies \frac{1}{5}$