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Simplify. Express your answer using a single exponent.\newline(k−3)−4(k^{-3})^{-4}

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Full solution

Q. Simplify. Express your answer using a single exponent.\newline(k−3)−4(k^{-3})^{-4}
  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(k−3)−4=k(−3⋅−4)(k^{-3})^{-4} = k^{(-3 \cdot -4)}
  3. Perform Multiplication: Perform the multiplication of the exponents. k(−3×−4)=k12k^{(-3 \times -4)} = k^{12}
  4. Write Final Answer: Write the final answer using a single exponent.\newlineThe expression simplifies to k12k^{12}.

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