Chapter 7.2, Problem 10P

Simplify each expression.

$\left(13x^{-8}\right)\left(3x^{10}\right)$

To determine

To simplify $\left(13x^{-8}\right)\left(3x^{10}\right)$ .

Answer to Problem 10P

The simplest form of the given expression $\left(13x^{-8}\right)\left(3x^{10}\right)$ is $39x^2$

Explanation of Solution

Given information :

Given expression $\left(13x^{-8}\right)\left(3x^{10}\right)$

As we know that $a^m\times a^n=a^{m+n}\mathrm{........}\text{(i)}$

Now consider $-\left(13x^{-8}\right)\left(3x^{10}\right)=-13\left(3\right)x^{-8}{x}^{10}$

  $\begin{array}{l}=-39x^{-8+10}\text{from}\text{rule}(i)\\ \therefore \left(13x^{-8}\right)\left(3x^{10}\right)=-39x^2\end{array}$

Hence, the simplest form of the given expression $\left(13x^{-8}\right)\left(3x^{10}\right)$ is $39x^2$