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svp [43]
3 years ago
12

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

Mathematics
1 answer:
Irina18 [472]3 years ago
5 0

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}.

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