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Simplify. Express your answer using a single exponent.\newline(j−7)5(j^{-7})^5

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Full solution

Q. Simplify. Express your answer using a single exponent.\newline(j−7)5(j^{-7})^5
  1. Identify Operation for Exponentiation: Identify the operation needed for the exponentiation of an exponent.\newlineWhen raising a power to another power, we multiply the exponents.
  2. Apply Exponent Rule: Apply the exponent rule (am)n=am∗n(a^m)^n = a^{m*n} to the expression (j−7)5(j^{-7})^5.\newlineWe multiply the exponents −7-7 and 55.\newlinej(−7∗5)j^{(-7*5)}
  3. Perform Exponent Multiplication: Perform the multiplication of the exponents. j(−7×5)=j−35j^{(-7\times5)} = j^{-35}

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