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

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Full solution

Q. Simplify. Express your answer using a single exponent.\newline(k−4)−4(k^{-4})^{-4}
  1. Identify Operation: Identify the operation needed for the exponents when raising a power to a power.\newlineWhen we raise a power to a power, we multiply the exponents.
  2. Apply Exponent Rule: Apply the exponent rule (k−4)−4(k^{-4})^{-4}. We multiply the exponents −4-4 and −4-4. (k−4)−4=k(−4×−4)(k^{-4})^{-4} = k^{(-4 \times -4)}
  3. Perform Multiplication: Perform the multiplication of the exponents.\newline−4×−4=16-4 \times -4 = 16\newlineSo, (k−4)−4=k16(k^{-4})^{-4} = k^{16}

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