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(1)) Simplify. Express your answer using positive exponents. \( \frac{9 \mathrm{~s}}{9 s^{7}} \) Submit

Ask by Potter Pena. in the United States
Mar 08,2025

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The simplified expression is \( \frac{1}{s^{6}} \).

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To simplify the expression \( \frac{9 \mathrm{~s}}{9 s^{7}} \), you can start by canceling out the common numerator and denominator parts: 1. The coefficient 9 in the numerator and denominator cancels: \( \frac{9}{9} = 1 \). 2. For the variable \( s \), you can apply the law of exponents, which states \( \frac{s^a}{s^b} = s^{a-b} \). Here, \( a = 1 \) and \( b = 7 \), so you get \( s^{1-7} = s^{-6} \). Thus, the final simplified result is \( s^{-6} \), but we are asked to express it using positive exponents, so it can be rewritten as \( \frac{1}{s^6} \).

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