Chapter 8.7, Problem 34E

To determine

To simplify:

The given expression.

Answer to Problem 34E

The simplified form of our given expression would be $a^4$ .

Explanation of Solution

Given:

An expression: $\frac{a^{12}}{a^8}$ .

Calculation:

We will use exponent properties to solve our given exponential number. Using exponent property $\frac{b^m}{b^n}=b^{m-n}$ , we will get:

  $\begin{array}{l}\frac{a^{12}}{a^8}\\ \Rightarrow a^{12-8}\\ \Rightarrow a^4\end{array}$

Therefore, the simplified form of our given expression would be $a^4$ .