Please help me, is this correct? Yes or no

Answer:
Yes, It's correct.
Step-by-step explanation:
[tex] { (\frac{3}{2} )}^{ - 5} = {( \frac{2}{3}) }^{5} \\ \frac{1}{ {( \frac{3}{2} )}^{5} } = {( \frac{2}{3}) }^{5} \\ 1 \div { (\frac{3}{2}) }^{5} = {( \frac{2}{3} )}^{5} \\1 \times { (\frac{2}{3}) }^{5} = {( \frac{2}{3}) }^{5} \\ {( \frac{2}{3} )}^{5} = {( \frac{2}{3} )}^{5} \\ [/tex]