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\frac{4^{7}\times 4^{-3}}{4^{3}}
To multiply powers of the same base, add their exponents. Add 2 and 5 to get 7.
\frac{4^{4}}{4^{3}}
To multiply powers of the same base, add their exponents. Add 7 and -3 to get 4.
4^{1}
To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 3 from 4 to get 1.
4
Calculate 4 to the power of 1 and get 4.