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\frac{4^{4}}{4^{2}}
To multiply powers of the same base, add their exponents. Add -6 and 10 to get 4.
4^{2}
To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 2 from 4 to get 2.
16
Calculate 4 to the power of 2 and get 16.