Chapter 7, Problem 24CT

To determine

To simplify: the given expression in two different ways.

Answer to Problem 24CT

The simplified form of the expression is $a^4$ .

Explanation of Solution

Given information:

Given expression,

  ${\left(\frac{a^6}{a^4}\right)}^2$

Calculation:

Consider the expression,

  ${\left(\frac{a^6}{a^4}\right)}^2$

Now, solve above expression can be simplified as follows,

  $\begin{array}{c}{\left(\frac{a^6}{a^4}\right)}^2={\left(a^6{a}^{-4}\right)}^2\\ ={\left(a^{6-4}\right)}^2\\ =a^4\end{array}$

So, the simplified form of the expression is $a^4$ .