Chapter SH, Problem 9.3.4EP

To determine

To calculate: Product using exponents.

Answer to Problem 9.3.4EP

Product using exponents of given number is ${12}^{11}$ .

Explanation of Solution

Given information:

  ${12}^3\cdot {12}^8$

Calculation:

The given number is ${12}^3\cdot {12}^8$

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, $a^m.a^n=a^{m+n}$

  $\begin{array}{l}={12}^3{.12}^8\\ ={12}^{3+8}\\ ={12}^{11}\end{array}$

So, $\begin{array}{l}={12}^3+{12}^8\\ ={12}^{11}\end{array}$