Q. 139. - Intermediate Algebra

Question

In the following exercises, simplify each expression.

${\left(2m^6\right)}^3$

Step-by-Step Solution

Answer

The simplified form of the given expression is $8m^{18}$

Step 1. Given information.

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

Step 2. Calculation & Simplify.

Calculation of expression using Product Property, 

$$\begin{gathered} {\left(2m^6\right)}^3 = {\left(2\right)}^3·{\left(m^6\right)}^3 \\ = 8·{\left(m^6\right)}^3 \end{gathered}$$

Use power property 

$$\begin{gathered} 8.{\left(m^6\right)}^3 = 8.m^{6.3} \\ = 8m^{18} \end{gathered}$$

Therefore, the simplified form of the given expression is $8m^{18}$