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Simplify. Express your answer using a single exponent.\newline(a8)5(a^{8})^{5}

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Full solution

Q. Simplify. Express your answer using a single exponent.\newline(a8)5(a^{8})^{5}
  1. Identify Operation: Identify the operation needed for the exponents when raising a power to a power.\newlineWhen we raise 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} to the given expression (a8)5(a^8)^5.\newlineWe multiply the exponents 88 and 55.\newline(a8)5=a8∗5=a40(a^8)^5 = a^{8*5} = a^{40}

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