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Simplify. Express your answer using positive exponents.\newline9n3n8\frac{9n}{3n^8}

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Full solution

Q. Simplify. Express your answer using positive exponents.\newline9n3n8\frac{9n}{3n^8}
  1. Divide coefficients by 33: Divide the coefficients 99 by 33. \newline9/3=39 / 3 = 3
  2. Apply quotient rule for exponents: Apply the quotient rule for the exponents of nn. \newlinenn8=n1−8=n−7\frac{n}{n^8} = n^{1-8} = n^{-7}\newlineSince we want to express the answer using positive exponents, we can write n−7n^{-7} as 1n7\frac{1}{n^7}.
  3. Combine results for final expression: Combine the results from the previous steps to write the final simplified expression.\newline3×(1n7)=3n73 \times \left(\frac{1}{n^7}\right) = \frac{3}{n^7}

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