quotient refers to division:
(8/v)² ⇒ (8/v)(8/v) = 8*8 / v*v = 64/v²
When you raise a fraction to a power, you multiply the fraction by itself according to the power raised.
Then, do the usual steps of multiplying fractions.
1) multiply numerators.
2) multiply denominators
3) simplify fraction produced.