{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Negative Exponents", "Exponentiation" ], "current_concepts": [ "Negative Exponents", "Exponentiation" ] } ## Apply the negative exponent rule \[ 4^{-2} = \frac{1}{4^2} \] ## Evaluate the denominator \[ 4^2 = 16 \] ## Simplify the fraction \[ \frac{1}{4^2} = \frac{1}{16} \] $4^{-2} =$ $\frac{1}{16}$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Negative Exponents" ] }

\\4^{-2} =\\ | Sovi AI

QUESTION IMAGE

$\\4^{-2} =\\$

Question

\\4^{-2} =\\

Explanation:

Apply the negative exponent rule

4^{-2} = \frac{1}{4^2}

Evaluate the denominator

$$ 4^2 = 16 $$

Simplify the fraction

\frac{1}{4^2} = \frac{1}{16}

Answer:

$4^{-2} =$ <blank>$\frac{1}{16}$</blank>