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Simplify. Express your answer using a single exponent.\newline(s−5)−2(s^{-5})^{-2}

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Full solution

Q. Simplify. Express your answer using a single exponent.\newline(s−5)−2(s^{-5})^{-2}
  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 (s−5)−2(s^{-5})^{-2}. We multiply the exponents −5-5 and −2-2. (s−5)−2=s(−5×−2)(s^{-5})^{-2} = s^{(-5 \times -2)}
  3. Perform Multiplication: Perform the multiplication of the exponents.\newline−5×−2=10-5 \times -2 = 10\newlineSo, (s−5)−2=s10(s^{-5})^{-2} = s^{10}
  4. Check Errors: Check for any mathematical errors.\newlineThere are no mathematical errors in the previous steps.

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