select the correct answer.

evaluate the following expression when $x = -4$ and $y = 4$.

\\frac{x^6 - x}{4y}\

$\bigcirc$ $\frac{16,385}{4}$

$\bigcirc$ $\frac{1,023}{4}$

$\bigcirc$ $\frac{1,025}{4}$

$\bigcirc$ $-\frac{1,023}{4}$

Question

select the correct answer.

evaluate the following expression when $x = -4$ and $y = 4$.

\\frac{x^6 - x}{4y}\

$\bigcirc$ $\frac{16,385}{4}$

$\bigcirc$ $\frac{1,023}{4}$

$\bigcirc$ $\frac{1,025}{4}$

$\bigcirc$ $-\frac{1,023}{4}$

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", "Algebraic Simplification" ], "new_concepts": [ "Algebraic Expression Evaluation" ], "current_concepts": [ "Exponent Rules", "Algebraic Simplification", "Algebraic Expression Evaluation" ] } ## Substitute the given values into the expression $$ \frac{(-4)^6 - (-4)}{4(4)} $$ ## Simplify the numerator and denominator $$ \begin{aligned} (-4)^6 &= 4096 \ (-4)^6 - (-4) &= 4096 + 4 = 4100 \ 4(4) &= 16 \end{aligned} $$ ## Reduce the fraction to simplest form $$ \frac{4100}{16} = \frac{4100 \div 4}{16 \div 4} = \frac{1025}{4} $$

(A) $\frac{16,385}{4}$

(B) $\frac{1,023}{4}$

(C) $\frac{1,025}{4}$

(D) $-\frac{1,023}{4}$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Algebraic Expression Evaluation" ] }

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QUESTION IMAGE

Question

Explanation:

Substitute the given values into the expression

Simplify the numerator and denominator

Reduce the fraction to simplest form

Answer: