Answer:
option A.
[tex]a^{9}b^{6}[/tex]
Step-by-step 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:
[tex][\frac{a^{-8}b}{a^{-5} b^{3}}}]^{-3}=[a^{-8+5}b^{1-3}}}]^{-3}=[a^{-3}b^{-2}]^{-3} =a^{9}b^{6}[/tex]
So the correct result is option A.
[tex]a^{9}b^{6}[/tex]
