Q. 293 - Intermediate Algebra

Question

In the following exercises, divide the monomials.

$\frac{(-18p^4{q}^7)(-6p^3{q}^8)}{-36p^{12}{q}^{10}}$

Step-by-Step Solution

Answer

The required answer is $\frac{-3q^5}{p^5}$.

Step 1. Given Information

Given expression: $\frac{(-18p^4{q}^7)(-6p^3{q}^8)}{-36p^{12}{q}^{10}}$

Step 2. Calculation

We have, $\frac{(-18p^4{q}^7)(-6p^3{q}^8)}{-36p^{12}{q}^{10}}$

$$\begin{gathered} =\frac{108p^7{q}^{15}}{-36p^{12}{q}^{10}} \\ =\frac{108}{-36}·\frac{p^7}{p^{12}}·\frac{q^{15}}{q^{10}} \end{gathered}$$       use fraction multiplication

$=\frac{-3q^5}{p^5}$                simplify and use quotient property