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\frac{6^{6}}{6^{3}}
To multiply powers of the same base, add their exponents. Add 1 and 5 to get 6.
6^{3}
To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 3 from 6 to get 3.
216
Calculate 6 to the power of 3 and get 216.