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Simplify. Express your answer using a single exponent.\newline(a8)3(a^{8})^{3}

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Full solution

Q. Simplify. Express your answer using a single exponent.\newline(a8)3(a^{8})^{3}
  1. Identify Operation: Identify the operation needed for the exponents.\newlineWhen raising a power to a power, you multiply the exponents.
  2. Apply Exponent Rule: Apply the exponent rule (am)n=am∗n(a^m)^n = a^{m*n}.\newlineHere, we have (a8)3(a^8)^3, so we multiply the exponents 88 and 33.\newline(a8)3=a8∗3(a^8)^3 = a^{8*3}
  3. Perform Multiplication: Perform the multiplication of the exponents. a8×3=a24a^{8 \times 3} = a^{24}

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