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\sqrt{\frac{5^{7}}{5^{5}}}
To multiply powers of the same base, add their exponents. Add 4 and 3 to get 7.
\sqrt{5^{2}}
To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 5 from 7 to get 2.
\sqrt{25}
Calculate 5 to the power of 2 and get 25.
5
Calculate the square root of 25 and get 5.