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Simplify. Express your answer using a single exponent.\newline(j−9)−2(j^{-9})^{-2}

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Full solution

Q. Simplify. Express your answer using a single exponent.\newline(j−9)−2(j^{-9})^{-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 (am)n=am∗n(a^m)^n = a^{m*n}.\newlineHere, we have (j−9)−2(j^{-9})^{-2}, so we multiply the exponents −9-9 and −2-2.\newlinej(−9∗−2)=j18j^{(-9 * -2)} = j^{18}
  3. Check for Errors: Check for any mathematical errors in the previous steps.\newlineNo errors were made in the calculations.

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