Q. 295 - Intermediate Algebra

Question

Divide the monomial-

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

Step-by-Step Solution

Answer

The solution is $\frac{5v^4}{u^2}$

Step 1. Given information

To solve-

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

Step 2. Calculation

Solving the given monomial, 

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

$$\begin{gathered} =\frac{4\times 15}{12}.\frac{u^2{u}^3}{u^3{u}^4}.\frac{v^{5}v}{vv} \\ =5.\frac{1}{u^2}.v^4 \\ =\frac{5v^4}{u^2} \end{gathered}$$

The solution is $\frac{5v^4}{u^2}$