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Simplify. Express your answer using a single exponent.\newline(a8)7(a^{8})^{7}

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Full solution

Q. Simplify. Express your answer using a single exponent.\newline(a8)7(a^{8})^{7}
  1. Identify Operation: Identify the operation needed for the exponents.\newlineWhen raising a power to a power, we multiply the exponents.
  2. Apply Rule: Apply the exponent rule.\newline(a8)7=a(8×7)(a^8)^7 = a^{(8 \times 7)}
  3. Perform Multiplication: Perform the multiplication. a(8×7)=a56a^{(8 \times 7)} = a^{56}
  4. Write Final Answer: Write the final answer.\newlineThe expression (a8)7(a^8)^7 simplifies to a56a^{56}.

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