4. $(-5x)^3(3x^6) =$

$\bigcirc -375x^{18}$
$\bigcirc 375x^9$
$\bigcirc -15x^9$
$\bigcirc -375x^9$
$\bigcirc -3375x^{21}$

Question

4. $(-5x)^3(3x^6) =$

$\bigcirc -375x^{18}$
$\bigcirc 375x^9$
$\bigcirc -15x^9$
$\bigcirc -375x^9$
$\bigcirc -3375x^{21}$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Exponent Rules", "Power of a Product", "Product of Powers" ], "current_concepts": [ "Exponent Rules", "Power of a Product", "Product of Powers" ] } ## Expand the first term $$ (-5x)^3 = (-5)^3 \cdot x^3 = -125x^3 $$ ## Multiply by the second term $$ (-125x^3)(3x^6) = (-125 \cdot 3) \cdot (x^3 \cdot x^6) $$ ## Simplify the coefficients and exponents $$ -375x^{3+6} = -375x^9 $$

(A) $-375x^{18}$

(B) $375x^9$

(C) $-15x^9$ (D) $-375x^9$

(E) $-3375x^{21}$

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

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Expand the first term

Multiply by the second term

Simplify the coefficients and exponents

Answer: