Questions: (2 m^3)^2(-5 m)

Transcript text: $(2 m^{3})^{2}(-5 m)$

Solution

Step 1: Simplifying the Expression

We start with the expression $(2m^3)^2(-5m)$. First, we simplify $(2m^3)^2$: \[ (2m^3)^2 = 2^2 \cdot (m^3)^2 = 4m^6 \]

Step 2: Multiplying by $-5m$

Next, we multiply the result from Step 1 by $-5m$: \[ 4m^6 \cdot (-5m) = -20m^{6+1} = -20m^7 \]

Thus, the final expression simplifies to: \[ \boxed{-20m^7} \]

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