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 (2m3)2(−5m)(2m^3)^2(-5m). First, we simplify (2m3)2(2m^3)^2: (2m3)2=22⋅(m3)2=4m6 (2m^3)^2 = 2^2 \cdot (m^3)^2 = 4m^6

Step 2: Multiplying by −5m-5m

Next, we multiply the result from Step 1 by −5m-5m: 4m6⋅(−5m)=−20m6+1=−20m7 4m^6 \cdot (-5m) = -20m^{6+1} = -20m^7

Final Answer

Thus, the final expression simplifies to: −20m7 \boxed{-20m^7}

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