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\frac{x\times 50}{512}=10^{-4}
Divide x by \frac{512}{50} by multiplying x by the reciprocal of \frac{512}{50}.
x\times \frac{25}{256}=10^{-4}
Divide x\times 50 by 512 to get x\times \frac{25}{256}.
x\times \frac{25}{256}=\frac{1}{10000}
Calculate 10 to the power of -4 and get \frac{1}{10000}.
x=\frac{1}{10000}\times \frac{256}{25}
Multiply both sides by \frac{256}{25}, the reciprocal of \frac{25}{256}.
x=\frac{16}{15625}
Multiply \frac{1}{10000} and \frac{256}{25} to get \frac{16}{15625}.