Chapter 8.9, Problem 42E

To determine

To write:

The given expression using only positive exponents.

Answer to Problem 42E

Our given expression with positive exponents would be $\frac{2b^8}{a^3}$ .

Explanation of Solution

Given:

An expression:

  $2a^{-3}{b}^8$ .

Calculation:

We will use exponent properties to simplify our given expression. Using exponent property $m^{-n}=\frac{1}{m^n}$ , we can rewrite our given expression as:

  $\begin{array}{l}2a^{-3}{b}^8\\ \Rightarrow 2b^8\cdot a^{-3}\\ \Rightarrow \frac{2b^8}{a^3}\left(\text{Using property }{m}^{-n}=\frac{1}{m^n}\right)\end{array}$

Therefore, the given expression with positive exponents would be $\frac{2b^8}{a^3}$ .