Chapter 8.1, Problem 29PPS

To determine

Simplify the given expression.

Answer to Problem 29PPS

The required simplified expression is $\frac{5a^{4}c}{3b}$ .

Explanation of Solution

Given information: Given the expression is $\frac{15a^2{b}^2}{21ac}\cdot \frac{14a^4{c}^2}{6a{b}^3}$ .

Calculation:

Given the expression:

  $\begin{array}{l}\frac{15a^2{b}^2}{21ac}\cdot \frac{14a^4{c}^2}{6a{b}^3}\\ =\frac{210a^6{b}^2{c}^2}{126a^2{b}^{3}c}\text{ multiply }\\ =\frac{5a^{4}c}{3b}\text{ cacel the common factor}\end{array}$

Thus, the required simplified expression is $\frac{5a^{4}c}{3b}$