what is the value of this expression when $x = -1$ and $y = 2$?

\4x^3y^2\

Question

what is the value of this expression when $x = -1$ and $y = 2$?

\4x^3y^2\

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_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 $$ 4x^3y^2 \implies 4(-1)^3(2)^2 $$ ## Evaluate the exponential terms $$ \begin{aligned} (-1)^3 &= -1 \ (2)^2 &= 4 \end{aligned} $$ ## Multiply the remaining factors $$ 4 \times (-1) \times 4 = -16 $$ What is the value of this expression when $x = -1$ and $y = 2$? $4x^3y^2$ -16 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Evaluating Expressions" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Substitute the given values into the expression

Evaluate the exponential terms

Multiply the remaining factors

Answer: