Question

$\frac{\left(4u^2{v}^5\right)\left(15u^{3}v\right)}{\left(12u^{3}v\right)\left(u^{4}v\right)}$

Short answer

$5\frac{v^4}{u^2}$

Step-by-step solution

step 1

Rewrite as a fraction and use fraction multiplication

=$\left(\frac{4.15}{12}\right)\left(\frac{u^2.u^3}{u^3.u^4}\right)\left(\frac{v^5.v^1}{v.v}\right)$

step 2

Use the quotient property to simplify

=$5.\frac{1}{u^2}.v^4$

Step 3

Multiply the results to get the answer

=$5\frac{v^4}{u^2}$