find the value of the expression.

\\frac{5(2^2 - 1) + 17}{6 - 2^2}\

\\frac{5(2^2 - 1) + 17}{6 - 2^2} = \square\ (type an integer or a simplified fraction.)

Question

find the value of the expression.

\\frac{5(2^2 - 1) + 17}{6 - 2^2}\

\\frac{5(2^2 - 1) + 17}{6 - 2^2} = \square\ (type an integer or a simplified fraction.)

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Evaluating Powers", "Order of Operations", "Simplifying Fractions" ], "new_concepts": [], "current_concepts": [ "Evaluating Powers", "Order of Operations", "Simplifying Fractions" ] } ## Evaluate exponential terms $$ 2^2 = 4 $$ ## Simplify the numerator and denominator $$ \begin{aligned} \text{Numerator: } & 5(4 - 1) + 17 = 5(3) + 17 = 15 + 17 = 32 \ \text{Denominator: } & 6 - 4 = 2 \end{aligned} $$ ## Divide the numerator by the denominator $$ \frac{32}{2} = 16 $$ $\frac{5(2^2 - 1) + 17}{6 - 2^2} =$ 16 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Order of Operations" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Evaluate exponential terms

Simplify the numerator and denominator

Divide the numerator by the denominator

Answer: