Simplify the expression.$\left(1.2m\right)^4$(1.2m)4​The simplified expression is .

Step 1: Break Down the Problem

We need to simplify the expression $(1.2m)^4$. This involves raising both the numerical coefficient (1.2) and the variable (m) to the power of 4.

Step 2: Relevant Concepts

To simplify $(ab)^n$, we can use the property $(ab)^n = a^n \cdot b^n$.

Step 3: Analysis and Detail

1. Separate the components of the expression: $(1.2m)^4 = (1.2)^4 \cdot (m)^4$

2. Calculate $(1.2)^4$: $(1.2)^4 = 1.2 \times 1.2 \times 1.2 \times 1.2 = 2.0736$

3. Calculate $(m)^4$ which remains as $m^4$.

Step 4: Verify and Summarize

Combining the results: $(1.2m)^4 = 2.0736 \cdot m^4$

Final Answer

The simplified expression is $2.0736m^4$.