Answer:
option A.
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Explanation:
To solve this, we need to use the following exponent rules:
Quotient rule: (a^n)/(a^m) = a^(n-m)
Power rule: (a^n)^m = a^nm
Power of a product rule: (ab)^n = (a^n)(b^n)
Then, we have the following expressions:
![[(a^(-8)b)/(a^(-5) b^(3))}]^(-3)=[a^(-8+5)b^(1-3)}}]^(-3)=[a^(-3)b^(-2)]^(-3) =a^(9)b^(6)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/k0neqxmebz8h15i57skqms76jfd20wf6uw.png)
So the correct result is option A.
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