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Simplify. Express your answer using a single exponent.\newline(b−8)−8(b^{-8})^{-8}

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Full solution

Q. Simplify. Express your answer using a single exponent.\newline(b−8)−8(b^{-8})^{-8}
  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(b−8)−8=b(−8×−8)(b^{-8})^{-8} = b^{(-8 \times -8)}
  3. Perform Multiplication: Perform the multiplication of the exponents.\newline−8×−8=64-8 \times -8 = 64
  4. Write Final Answer: Write the final answer using the result from Step 33.\newlineb(−8×−8)=b64b^{(-8 \times -8)} = b^{64}

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