To simplify the expression $\sqrt[3]{64m^3}$, we can break it down step by step.

Step 1: Simplify the numerical part

We know that $64 = 4^3$, so: $\sqrt[3]{64} = 4$

Step 2: Simplify the variable part

For $m^3$, taking the cube root gives: $\sqrt[3]{m^3} = m$

Final Answer

Combining both parts, we get: $\sqrt[3]{64m^3} = 4m$

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