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\frac{5^{17}}{5^{11}}
To multiply powers of the same base, add their exponents. Add 8 and 3 to get 11.
5^{6}
To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 11 from 17 to get 6.
15625
Calculate 5 to the power of 6 and get 15625.