Chapter 7.2, Problem 8P

Simplify each expression.

$-4k^{-3}\cdot 6k^4$

To determine

To simplify $-4k^{-3}.6k^4$ .

Answer to Problem 8P

The simplest form of the given expression $-4k^{-3}.6k^4$ is $-24k$

Explanation of Solution

Given information :

Given expression $-4k^{-3}.6k^4$

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

Now consider $-4k^{-3}.6k^4=-4\left(6\right)k^{-3}{k}^4$

  $\begin{array}{l}=-24k^{-3+4}\text{from}\text{rule}(i)\\ \therefore -4k^{-3}.6k^4=-24k\end{array}$

Hence, the simplest form of the given expression $-4k^{-3}.6k^4$ is $-24k$