Q135. In the following exercises, simplify each expression. - Intermediate Algebra

Question

${\left(x^2\right)}^4.{\left(x^3\right)}^2$

Step-by-Step Solution

Answer

The simplified form of the given expression is$x^{14}$

Given information, x 2 4 . x 3 2

Calculation of expression using power property, $x^{2.4}.x^{3.2} = x^8.x^6$

Now, we use the Product Property

$$\begin{gathered} x^8.x^6 = x^{8+6} \\ =x^{14} \end{gathered}$$

Therefore, the simplified form of the given expression is $x^{14}$