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Question
negative exponents rule
negative exponents
simplify the expression:
$2^{-3}=\frac{1}{2^3}$
multiple-choice question
what will the final answer be?
options (partially visible): $\frac{1}{8}$, 8, $\frac{1}{6}$ (exact options may vary slightly due to ocr)
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Step1: Apply negative exponent rule
$2^{-3} = \frac{1}{2^3}$
Step2: Calculate positive exponent
$2^3 = 2 \times 2 \times 2 = 8$
Step3: Substitute to get final value
$\frac{1}{2^3} = \frac{1}{8}$
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$\frac{1}{8}$ (corresponding to the first multiple-choice option)