use the power rule and the power of a product rule to simplify.

$(4m^7)^3$

$(4m^7)^3 = \square$

Question

use the power rule and the power of a product rule to simplify.

$(4m^7)^3$

$(4m^7)^3 = \square$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Power of a Product Rule", "Power of a Power Rule" ], "new_concepts": [], "current_concepts": [ "Power of a Product Rule", "Power of a Power Rule" ] } ## Apply the power of a product rule $$ (4m^7)^3 = 4^3 \cdot (m^7)^3 $$ ## Apply the power of a power rule $$ 4^3 \cdot (m^7)^3 = 64 \cdot m^{7 \cdot 3} = 64m^{21} $$ $(4m^7)^3 =$ $64m^{21}$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Power of a Product Rule" ] }

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Question

Explanation:

Apply the power of a product rule

Apply the power of a power rule

Answer: