Use repeated multiplication to compute ${\left(\frac{2}{3}\right)}^3$.

Which of the following equals ${(-\frac{3}{4})}^2$?

Simplify the expression ${\left(\frac{2x}{3y}\right)}^3$.

A rectangular garden's linear dimensions are scaled by a factor of $\frac{3}{4}$. If the original area was $200{\text{cm}}^2$, compute the new area by applying the appropriate power of a quotient rule.

Given the equation $(\frac{2x}{5y}{)}^3=\frac{16}{125}$ with $x$ and $y$ nonzero, find $\frac{x}{y}$.