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\frac{1600}{\frac{1}{100000}\times 2}=10^{4}\times 2x
Calculate 10 to the power of -5 and get \frac{1}{100000}.
\frac{1600}{\frac{1}{50000}}=10^{4}\times 2x
Multiply \frac{1}{100000} and 2 to get \frac{1}{50000}.
1600\times 50000=10^{4}\times 2x
Divide 1600 by \frac{1}{50000} by multiplying 1600 by the reciprocal of \frac{1}{50000}.
80000000=10^{4}\times 2x
Multiply 1600 and 50000 to get 80000000.
80000000=10000\times 2x
Calculate 10 to the power of 4 and get 10000.
80000000=20000x
Multiply 10000 and 2 to get 20000.
20000x=80000000
Swap sides so that all variable terms are on the left hand side.
x=\frac{80000000}{20000}
Divide both sides by 20000.
x=4000
Divide 80000000 by 20000 to get 4000.