Which expression is equivalent to (a^-8b/a^-5b^3)^-3

The correct option is A.

Step-by-step 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

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step-by-step explanation: