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Simplify. Express your answer using a single exponent.\newline(9s9)2(9s^9)^2

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Full solution

Q. Simplify. Express your answer using a single exponent.\newline(9s9)2(9s^9)^2
  1. Apply Power Rule: Apply the power to a power rule.\newlineWhen raising a power to another power, we multiply the exponents. We also raise the numerical coefficient to the power of 22.\newline(9s9)2=92×(s9)2(9s^9)^2 = 9^2 \times (s^9)^2
  2. Calculate 929^2: Calculate 929^2. \newline92=9×9=819^2 = 9 \times 9 = 81
  3. Calculate (s9)2(s^9)^2: Calculate (s9)2(s^9)^2.(s9)2=s(9×2)=s18(s^9)^2 = s^{(9 \times 2)} = s^{18}
  4. Combine Results: Combine the results from Step 22 and Step 33.\newline(9s9)2=81×s18(9s^9)^2 = 81 \times s^{18}
  5. Write Final Expression: Write the final simplified expression.\newlineThe expression (9s9)2(9s^9)^2 simplifies to 81s1881s^{18}.

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