Simplify the expression $\frac{u^{2} v^{-3}}{\left(u^{3} v\right)^{-1}}$ Assume that the variables are not zero.
A) $\frac{u^{5}}{v^{2}}$
B) $\frac{1}{u v^{4}}$
C) $\frac{1}{u v^{2}}$
D) $u^{5} v^{4}$
E) $u^{5} v^{2}$

Question

Quizplus · Accepted Answer

To simplify the expression, first rewrite the denominator: $(u^3 v)^{-1} = \frac{1}{u^3 v}$. The expression becomes $\frac{u^2 v^{-3}}{\frac{1}{u^3 v}}$, which simplifies to $u^2 v^{-3} \cdot u^3 v = u^{2+3} v^{-3+1} = u^5 v^{-2}$.

Simplify the Expression u2v−3(u3v)−1\frac{u^{2} v^{-3}}{\left(u^{3} v\right)^{-1}}(u3v)−1u2v−3​ Assume That the Variables Are Not Zero

Simplify the Expression $\frac{u^{2} v^{-3}}{\left(u^{3} v\right)^{-1}}$ Assume That the Variables Are Not Zero