which is the value of this expression when $x = -2$ and $y = -3$?

\10x^3y^2\

-720
-360
360
720

Question

which is the value of this expression when $x = -2$ and $y = -3$?

\10x^3y^2\

-720
-360
360
720

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": [ "Algebraic Substitution", "Evaluating Expressions" ], "current_concepts": [ "Algebraic Substitution", "Evaluating Expressions", "Exponent Rules" ] } ## Substitute the given values into the expression $$ 10x^3y^2 \implies 10(-2)^3(-3)^2 $$ ## Evaluate the exponential terms $$ \begin{aligned} (-2)^3 &= -8 \ (-3)^2 &= 9 \end{aligned} $$ ## Multiply the remaining values $$ 10 \times (-8) \times 9 = -720 $$

(A) -720

(B) -360

(C) 360

(D) 720

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Evaluating Expressions" ] }

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QUESTION IMAGE

Question

Explanation:

Substitute the given values into the expression

Evaluate the exponential terms

Multiply the remaining values

Answer: