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Simplify. Express your answer using a single exponent. \newline(s9)8(s^{9})^{8}

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Full solution

Q. Simplify. Express your answer using a single exponent. \newline(s9)8(s^{9})^{8}
  1. Identify Operation: Identify the operation needed for the exponents.\newlineWhen raising a power to a power, we multiply the exponents.
  2. Apply Exponent Rule: Apply the exponent rule (s9)8(s^9)^8. We multiply the exponents 99 and 88. (s9)8=s(9∗8)(s^9)^8 = s^{(9*8)}
  3. Perform Multiplication: Perform the multiplication of the exponents.\newlineCalculate 9×89\times8 to get the single exponent.\newline9×8=729\times8 = 72
  4. Write Final Answer: Write the final answer using the single exponent. s9×8=s72s^{9\times8} = s^{72}

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