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Simplify: 3m² * (-6m³). Assume all variables are non-zero.

a) -18m⁵
b) -18m
c) -18m⁶
d) -18m⁷

User Dreftymac
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1 Answer

2 votes

Final Answer:

The simplified expression for 3m² * (-6m³) is -18m⁵. Option A is answer.

Step-by-step explanation:

Final Answer:

3m² * (-6m³) = -18m⁵

Step-by-step explanation:

When multiplying variables with exponents, we multiply the exponents with the same base. Therefore:

3m² * (-6m³) = 3 * (-6) * m² * m³

= -18 * m^(2+3)

= -18 * m⁵

Therefore, the simplified expression is -18m⁵. Option A is answer.

In conclusion, the simplified expression for 3m² * (-6m³) is -18m⁵, obtained by applying the rules of exponent multiplication. This aligns with Option A, confirming it as the correct answer. The solution demonstrates the efficient simplification of algebraic expressions involving exponents.

User El Roso
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