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Simplify. Express your answer using a single exponent.\newline(w6)−8(w^{6})^{-8}

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Full solution

Q. Simplify. Express your answer using a single exponent.\newline(w6)−8(w^{6})^{-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 (w6)−8(w^6)^{-8}. We multiply the exponents 66 and −8-8. w(6×−8)w^{(6 \times -8)}
  3. Perform Multiplication: Perform the multiplication of the exponents. w6×−8=w−48w^{6 \times -8} = w^{-48}
  4. Express Final Answer: Express the final answer using a single exponent.\newlineThe expression is already simplified to a single exponent, so the final answer is w−48w^{-48}.

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