Chapter SH, Problem 9.3.14EP

To determine

To calculate: Product using exponents.

Answer to Problem 9.3.14EP

Product using exponents of given number is $-12k^7$ .

Explanation of Solution

Given information:

  $\left(4k^4\right){\left(-3k\right)}^3$

Calculation:

The given term is $\left(4k^4\right){\left(-3k\right)}^3$ .

So base of the both exponents is a same so product rule applies here that is addition of exponents with common base.

After simplifying by powers property, $\left(a^x\right)\left(a^y\right)=a^{x+y}$

  $\begin{array}{l}=\left(4k^4\right){\left(-3k\right)}^3\\ =4\cdot \left(-3\right)\cdot k^4\cdot k^3\\ =\left(-12\right)k^7\\ =-12k^7\end{array}$

Thus answer is $-12k^7$ .