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Please select the best answer from the choices provided

Please select the best answer from the choices provided-example-1
User Fargonaut
by
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1 Answer

6 votes

Answer:

The correct answer option is c.
(1)/(9a^2)
.

Explanation:

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

We can also write
(27a^(-3))^{-(2)/(3) } as
((3^3)/(a^3) )^{-(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.-(2)/(3))} }{a^{(3.(2)/(3))} }\\\\(3^(-2))/(a^2)\\ \\(1)/(3^2a^2) \\\\(1)/(9a^2)

Therefore, the correct answer option is c.
(1)/(9a^2)
.

User Alexey Odintsov
by
7.5k points

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