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

a) -18m⁵
b) -18m
c) -18m⁶
d) -18m⁷

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.

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User El Roso
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