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4^{5}\times 4^{-7}
To multiply powers of the same base, add their exponents. Add 3 and 2 to get 5.
4^{-2}
To multiply powers of the same base, add their exponents. Add 5 and -7 to get -2.
\frac{1}{16}
Calculate 4 to the power of -2 and get \frac{1}{16}.