Question

(_2/3)(Raised to power 3) multiplied by (_3/2)(raised to power 2)

Answer 1

Answer:

$\frac{-2}{3}$

Step-by-step explanation:

From the given question,

$(\frac{-2}{3} )^{3}$ x $(\frac{-3}{2} )^{2}$

Applying the required principle of indices to solve the question, we have;

$(\frac{-2}{3} )^{3}$ x $(\frac{-3}{2} )^{2}$ = $\frac{(-2)^{3} }{3^{3} }$ x $\frac{(-3)^{2} }{2^{2} }$

= $\frac{-8}{27}$ x $\frac{9}{4}$

= $\frac{-72}{108}$

= $\frac{-2}{3}$

Thus, the final answer is $\frac{-2}{3}$.