Question

In the following exercises, simplify each expression.

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

Short answer

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

Step-by-step solution

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$a^{36}$