dahlia is simplifying $(3t)^4$ using these steps:

$(3t)^4 = 3t \cdot 3t \cdot 3t \cdot 3t = 3 \cdot 3 \cdot 3 \cdot 3 \cdot t \cdot t \cdot t \cdot t$

although dahlia is correct so far, which step could she have used instead to simplify the expression $(3t)^4$?

$\bigcirc$ $3^4 \cdot 3t^4$
$\bigcirc$ $3^4 t = 81t$
$\bigcirc$ $4(3t) = 12t$
$\bigcirc$ $3^4 t^4 = 81t^4$

Question

dahlia is simplifying $(3t)^4$ using these steps:

$(3t)^4 = 3t \cdot 3t \cdot 3t \cdot 3t = 3 \cdot 3 \cdot 3 \cdot 3 \cdot t \cdot t \cdot t \cdot t$

although dahlia is correct so far, which step could she have used instead to simplify the expression $(3t)^4$?

$\bigcirc$ $3^4 \cdot 3t^4$
$\bigcirc$ $3^4 t = 81t$
$\bigcirc$ $4(3t) = 12t$
$\bigcirc$ $3^4 t^4 = 81t^4$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Exponent Rules", "Power of a Product" ], "new_concepts": [], "current_concepts": [ "Exponent Rules", "Power of a Product" ] } ## Identify the given expression and target rule $$ (3t)^4 $$ ## Apply the power of a product rule $$ (3t)^4 = 3^4 \cdot t^4 $$ ## Simplify the numerical base $$ 3^4 \cdot t^4 = 81t^4 $$

(A) $3t^4 = 3t^4$

(B) $3^4t = 81t$

(C) $4(3t) = 12t$

(D) $3^4t^4 = 81t^4$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Exponent Rules" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the given expression and target rule

Apply the power of a product rule

Simplify the numerical base

Answer: