Question

In the following exercises, simplify each expression.

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

Short answer

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

Step-by-step solution

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 islocalid="1646808244649" $8m^{18}$