Answer:
The correct option is A.
Explanation:
The given expression is:
(a^-8b/a^-5b^3)^-3
We have to keep one thing in our mind that in a division, same base, the exponents are subtracted.
We will change the division into multiplication: The denominator will become numerator and the signs of the exponent become opposite.
(a^-8 *a^+5 * b *b^-3)^-3
=(a^-8+5 * b^1-3) ^-3
=(a^-3*b^-2)^-3
=(a)^-3*-3 (b)^-2*-3
= a^9 b^6
Thus the correct option is A....