Chapter 7.2, Problem 62HP

To determine

To write: the two monomials with a quotient of $24a^2{b}^3$ .

Answer to Problem 62HP

The exponential model is $y=\left(\frac{1}{8}\right)8^x$

Explanation of Solution

Given information:

Consider the two monomials with a quotient of $24a^2{b}^3$ .

Let x and y are the two monomials.

Then,

  $\begin{array}{l}\frac{x}{y}=24a^2{b}^3\\ \text{ if }x=a^2{b}^3\\ \Rightarrow y=\frac{a^2{b}^3}{24a^2{b}^3}\\ =24a^4{b}^6\end{array}$

Hence, the two monomials are $a^2{b}^3$ and $24a^4{b}^6$