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Simplify. Express your answer using a single exponent.\newline(a4)9(a^{4})^{9}

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Full solution

Q. Simplify. Express your answer using a single exponent.\newline(a4)9(a^{4})^{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 (am)n=am∗n(a^m)^n = a^{m*n}.\newline(a4)9=a4∗9(a^4)^9 = a^{4*9}
  3. Perform Multiplication: Perform the multiplication of the exponents. a4×9=a36a^{4\times9} = a^{36}

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