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\frac{100\times 1000}{3.14}\times 10^{-2\times 2}
Calculate 10 to the power of 3 and get 1000.
\frac{100000}{3.14}\times 10^{-2\times 2}
Multiply 100 and 1000 to get 100000.
\frac{10000000}{314}\times 10^{-2\times 2}
Expand \frac{100000}{3.14} by multiplying both numerator and the denominator by 100.
\frac{5000000}{157}\times 10^{-2\times 2}
Reduce the fraction \frac{10000000}{314} to lowest terms by extracting and canceling out 2.
\frac{5000000}{157}\times 10^{-4}
Multiply -2 and 2 to get -4.
\frac{5000000}{157}\times \frac{1}{10000}
Calculate 10 to the power of -4 and get \frac{1}{10000}.
\frac{500}{157}
Multiply \frac{5000000}{157} and \frac{1}{10000} to get \frac{500}{157}.