Evaluate:
a⁻³b⁻⁴ / a⁻²b⁻³

The correct answer is: Simplifying the given expression, we get the value 1/ab.

Step-by-step solution:-
a⁻³b⁻⁴ / a⁻² b⁻³
= a^-3-(-2) × b^-4-(-3) ….......................................................... (aⁿ/a^m = a^n-m)
= a^-3+2 × b^-4+3
= a^-1 × b^-1
= 1/a × 1/b …................................................................ (b^-n = 1/bⁿ)
= 1/ab
Final Answer:-
∴ Simplifying the given expression, we get the value 1/ab.