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Simplify. Express your answer using a single exponent.\newline(z6)−4(z^{6})^{-4}

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Full solution

Q. Simplify. Express your answer using a single exponent.\newline(z6)−4(z^{6})^{-4}
  1. Identify Operation: Identify the operation needed for the exponents.\newlineWhen raising a power to a power, we multiply the exponents.
  2. Apply Rule: Apply the exponent rule.\newline(z6)−4=z6⋅−4(z^6)^{-4} = z^{6 \cdot -4}
  3. Perform Multiplication: Perform the multiplication of the exponents. z6×−4=z−24z^{6 \times -4} = z^{-24}
  4. Express Final Answer: Express the final answer using a single exponent.\newlineThe expression is already simplified to a single exponent, which is −24-24.

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