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Simplify. Express your answer using a single exponent.\newline(k−3)−5(k^{-3})^{-5}

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Full solution

Q. Simplify. Express your answer using a single exponent.\newline(k−3)−5(k^{-3})^{-5}
  1. Understand Exponent Rule: Understand the exponent rule for powers raised to powers. When you have a power raised to another power, you multiply the exponents.
  2. Apply Rule to Expression: Apply the exponent rule to (k−3)−5(k^{-3})^{-5}. We multiply the exponents −3-3 and −5-5. (k−3)−5=k(−3×−5)(k^{-3})^{-5} = k^{(-3 \times -5)}
  3. Perform Exponent Multiplication: Perform the multiplication of the exponents.\newline−3×−5=15-3 \times -5 = 15\newlineSo, (k−3)−5=k15(k^{-3})^{-5} = k^{15}

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