10^-4/1.984*10^-19

asked by guest
on Jan 18, 2025 at 2:54 am



You asked:

Evaluate the expression: 10−41.984⋅10−19\frac{{10}^{-4}}{1.984} \cdot {10}^{-19}

MathBot Answer:

10−41.984⋅10−19=1198400000000000000000000=0.00000000000000000000000504032258064516129‾\frac{{10}^{-4}}{1.984} \cdot {10}^{-19} = \frac{1}{198400000000000000000000} = 0.00000000000000000000000504\overline{032258064516129}

10−41.984⋅10−19=1100001.984⋅10−19=110000248125⋅10−19=119840⋅10−19=119840⋅110000000000000000000=1198400000000000000000000\begin{aligned}\frac{{10}^{-4}}{1.984} \cdot {10}^{-19}&=\frac{\frac{1}{10000}}{1.984} \cdot {10}^{-19}\\&=\frac{\frac{1}{10000}}{\frac{248}{125}} \cdot {10}^{-19}\\&=\frac{1}{19840} \cdot {10}^{-19}\\&=\frac{1}{19840} \cdot \frac{1}{10000000000000000000}\\&=\frac{1}{198400000000000000000000}\end{aligned}

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