Q. 137. - Intermediate Algebra

Question

In the following exercises, simplify each expression.

${\left(a^2\right)}^6·{\left(a^3\right)}^8$

Step-by-Step Solution

Answer

The simplified form of the given expression is$a^{36}$.

Step 1. Given information.

The given expression is ${\left(a^2\right)}^6·{\left(a^3\right)}^8$.

Step 2. Calculation and simplification.

Calculation of expression using power property, 

$a^{2.6}·a^{3.8} = a^{12}·a^{24}$

Use the Product Property  

$$\begin{gathered} a^{12}.a^{24} = a^{12+24} \\ = a^{36} \end{gathered}$$

Therefore, the simplified form of the given expression is $a^{36}$