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Simplify. Express your answer using a single exponent.\newline(r8)5(r^{8})^{5}

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Full solution

Q. Simplify. Express your answer using a single exponent.\newline(r8)5(r^{8})^{5}
  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.\newline(r8)5=r(8×5)(r^8)^5 = r^{(8 \times 5)}
  3. Perform Multiplication: Perform the multiplication. r8×5=r40r^{8 \times 5} = r^{40}
  4. Write Final Answer: Write the final answer.\newlineThe expression (r8)5(r^8)^5 simplifies to r40r^{40}.

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