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Simplify. Express your answer using a single exponent.\newline(b8)9(b^{8})^{9}

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Full solution

Q. Simplify. Express your answer using a single exponent.\newline(b8)9(b^{8})^{9}
  1. Identify Operation: Identify the operation needed for the exponents when raising a power to a power.\newlineWhen we raise a power to another power, we multiply the exponents.
  2. Apply Rule: Apply the exponent rule to simplify the expression.\newline(b8)9=b(8×9)(b^8)^9 = b^{(8 \times 9)}
  3. Perform Multiplication: Perform the multiplication of the exponents. b8×9=b72b^{8 \times 9} = b^{72}
  4. Write Final Answer: Write the final answer using a single exponent.\newlineThe expression (b8)9(b^8)^9 simplifies to b72b^{72}.

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