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Simplify. Express your answer using positive exponents.\newline9zz8\frac{9z}{z^8}

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Full solution

Q. Simplify. Express your answer using positive exponents.\newline9zz8\frac{9z}{z^8}
  1. Write Expression: Write down the given expression.\newlineThe given expression is 9zz8\frac{9z}{z^8}.
  2. Divide and Simplify: Simplify the expression by dividing the terms.\newlineWhen dividing powers with the same base, subtract the exponents.\newline9zz8=9×z1/z8\frac{9z}{z^8} = 9 \times z^1 / z^8
  3. Subtract Exponents: Subtract the exponents.\newlinez1/z8=z(1−8)=z−7z^1 / z^8 = z^{(1-8)} = z^{-7}
  4. Combine Coefficient: Combine the coefficient with the simplified power of zz. \newline9×z(−7)=9z79 \times z^{(-7)} = \frac{9}{z^7}
  5. Final Answer: Express the final answer using positive exponents.\newlineThe expression 9×z−79 \times z^{-7} is equivalent to 9z7.\frac{9}{z^7}.

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