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a−13a−6=□\dfrac{a^{-13}}{a^{-6}}=\Box

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Q. a−13a−6=□\dfrac{a^{-13}}{a^{-6}}=\Box
  1. Apply Quotient Rule: Apply the quotient rule for exponents which states that aman=am−n \frac{a^m}{a^n} = a^{m-n} .\newlineCalculate the new exponent by subtracting the exponent in the denominator from the exponent in the numerator: −13−(−6)=−13+6=−7 -13 - (-6) = -13 + 6 = -7 .\newlineSo, a−13/a−6=a−7 a^{-13}/a^{-6} = a^{-7} .

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