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babunello [35]
3 years ago
10

Please select the best answer from the choices provided

Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
4 0

<u>Answer:</u>

The correct answer option is c. \frac{1}{9a^2}.

<u>Step-by-step explanation:</u>

We are given an expression (27a^{-3})^{-\frac{2}{3} } and we are supposed to simplify it.

We can also write (27a^{-3})^{-\frac{2}{3} } as (\frac{3^3}{a^3} )^{-\frac{2}{3} }.

We know the power rule (a^m)^n=a^{mn} which means that to raise a power to a power you need to multiply the exponents.

So multiplying the exponents to get:

\frac{3^{(3.-\frac{2}{3})} }{a^{(3.\frac{2}{3})} }\\\\\frac{3^{-2}}{a^2}\\ \\\frac{1}{3^2a^2} \\\\\frac{1}{9a^2}

Therefore, the correct answer option is c. \frac{1}{9a^2}.

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