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\frac{1600}{2\times 100000}=2\times 10x
Calculate 10 to the power of 5 and get 100000.
\frac{1600}{200000}=2\times 10x
Multiply 2 and 100000 to get 200000.
\frac{1}{125}=2\times 10x
Reduce the fraction \frac{1600}{200000} to lowest terms by extracting and canceling out 1600.
\frac{1}{125}=20x
Multiply 2 and 10 to get 20.
20x=\frac{1}{125}
Swap sides so that all variable terms are on the left hand side.
x=\frac{\frac{1}{125}}{20}
Divide both sides by 20.
x=\frac{1}{125\times 20}
Express \frac{\frac{1}{125}}{20} as a single fraction.
x=\frac{1}{2500}
Multiply 125 and 20 to get 2500.