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11.25x=2\times 9.9\times 10^{-4}\times 6.25
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 9x.
11.25x=19.8\times 10^{-4}\times 6.25
Multiply 2 and 9.9 to get 19.8.
11.25x=19.8\times \frac{1}{10000}\times 6.25
Calculate 10 to the power of -4 and get \frac{1}{10000}.
11.25x=\frac{99}{50000}\times 6.25
Multiply 19.8 and \frac{1}{10000} to get \frac{99}{50000}.
11.25x=\frac{99}{8000}
Multiply \frac{99}{50000} and 6.25 to get \frac{99}{8000}.
x=\frac{\frac{99}{8000}}{11.25}
Divide both sides by 11.25.
x=\frac{99}{8000\times 11.25}
Express \frac{\frac{99}{8000}}{11.25} as a single fraction.
x=\frac{99}{90000}
Multiply 8000 and 11.25 to get 90000.
x=\frac{11}{10000}
Reduce the fraction \frac{99}{90000} to lowest terms by extracting and canceling out 9.