Write an expression for the sequence of operations described below.

raise the quotient of 8 and v to the 2nd power

do not simplify any part of the expression.

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.

What exactly is your question?