Answer:
[tex]\frac{27}{125} [/tex]
Step-by-step explanation:
[tex] {( \frac{25}{9}) }^{ \frac{ -3 }{2} } = { {( \frac{5}{3}) }^{2} }^{ \times - \frac{3}{2} } = {( \frac{5}{3} )}^{ - 3} [/tex]
[tex] = \frac{1}{ {( \frac{5}{3}) }^{3} } = \frac{1}{ \frac{125}{27} } = \frac{27}{125} [/tex]