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Simplify. Express your answer using a single exponent.\newline(x−5)−9(x^{-5})^{-9}

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Full solution

Q. Simplify. Express your answer using a single exponent.\newline(x−5)−9(x^{-5})^{-9}
  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(x−5)−9=x(−5⋅−9)(x^{-5})^{-9} = x^{(-5 \cdot -9)}
  3. Perform Multiplication: Perform the multiplication of the exponents.\newline−5×−9=45-5 \times -9 = 45
  4. Write Final Answer: Write the final answer using the calculated exponent. x(−5⋅−9)=x45x^{(-5 \cdot -9)} = x^{45}

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