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\frac{9^{-4}}{9^{-6}}
To multiply powers of the same base, add their exponents. Add -10 and 6 to get -4.
9^{2}
To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract -6 from -4 to get 2.
81
Calculate 9 to the power of 2 and get 81.