Answer:
[tex]\frac{-2}{3}[/tex]
Step-by-step explanation:
From the given question,
[tex](\frac{-2}{3} )^{3}[/tex] x [tex](\frac{-3}{2} )^{2}[/tex]
Applying the required principle of indices to solve the question, we have;
[tex](\frac{-2}{3} )^{3}[/tex] x [tex](\frac{-3}{2} )^{2}[/tex] = [tex]\frac{(-2)^{3} }{3^{3} }[/tex] x [tex]\frac{(-3)^{2} }{2^{2} }[/tex]
= [tex]\frac{-8}{27}[/tex] x [tex]\frac{9}{4}[/tex]
= [tex]\frac{-72}{108}[/tex]
= [tex]\frac{-2}{3}[/tex]
Thus, the final answer is [tex]\frac{-2}{3}[/tex].
