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

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

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Solution Steps

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 \(-5m\): \[ 4m^6 \cdot (-5m) = -20m^{6+1} = -20m^7 \]

Final Answer

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

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