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Simplify. Express your answer using a single exponent.\newline(s2)9(s^{2})^{9}

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Full solution

Q. Simplify. Express your answer using a single exponent.\newline(s2)9(s^{2})^{9}
  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 (s2)9(s^2)^9. We multiply the exponents 22 and 99. (s2)9=s(2∗9)(s^2)^9 = s^{(2*9)}
  3. Perform Multiplication: Perform the multiplication of the exponents.\newline2×9=182 \times 9 = 18\newlineSo, (s2)9=s18(s^2)^9 = s^{18}

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