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Simplify. Express your answer using a single exponent.\newline(b−8)9(b^{-8})^{9}

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Full solution

Q. Simplify. Express your answer using a single exponent.\newline(b−8)9(b^{-8})^{9}
  1. Identify Operation: Identify the operation needed for the exponentiation of a power.\newlineWhen raising a power to a power, we multiply the exponents.
  2. Apply Exponent Rule: Apply the exponent rule (b−8)9(b^{-8})^{9}. We multiply the exponents −8-8 and 99. (b−8)9=b(−8×9)=b−72(b^{-8})^{9} = b^{(-8 \times 9)} = b^{-72}
  3. Check Simplifications: Check for any possible simplifications or errors. There are no further simplifications possible, and no errors have been made in the calculations.

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