2×0.34×1.6×10^-19/9.1×10^-31

asked by guest
on Nov 17, 2024 at 7:10 pm



You asked:

Evaluate the expression: 2⋅0.34⋅1.6⋅10−199.1⋅10−31\frac{2 \cdot 0.34 \cdot 1.6 \cdot {10}^{-19}}{9.1} \cdot {10}^{-31}

MathBot Answer:

2⋅0.34⋅1.6⋅10−199.1⋅10−31=1714218750000000000000000000000000000000000000000000000=0.0000000000000000000000000000000000000000000000000011956043‾\frac{2 \cdot 0.34 \cdot 1.6 \cdot {10}^{-19}}{9.1} \cdot {10}^{-31} = \frac{17}{14218750000000000000000000000000000000000000000000000} = 0.0000000000000000000000000000000000000000000000000011\overline{956043}

2⋅0.34⋅1.6⋅10−199.1⋅10−31=2⋅1750⋅1.6⋅10−199.1⋅10−31=1725⋅1.6⋅10−199.1⋅10−31=1725⋅85⋅10−199.1⋅10−31=136125⋅10−199.1⋅10−31=136125⋅1100000000000000000009.1⋅10−31=171562500000000000000009.1⋅10−31=171562500000000000000009110⋅10−31=171421875000000000000000⋅10−31=171421875000000000000000⋅110000000000000000000000000000000=1714218750000000000000000000000000000000000000000000000\begin{aligned}\frac{2 \cdot 0.34 \cdot 1.6 \cdot {10}^{-19}}{9.1} \cdot {10}^{-31}&=\frac{2 \cdot \frac{17}{50} \cdot 1.6 \cdot {10}^{-19}}{9.1} \cdot {10}^{-31}\\&=\frac{\frac{17}{25} \cdot 1.6 \cdot {10}^{-19}}{9.1} \cdot {10}^{-31}\\&=\frac{\frac{17}{25} \cdot \frac{8}{5} \cdot {10}^{-19}}{9.1} \cdot {10}^{-31}\\&=\frac{\frac{136}{125} \cdot {10}^{-19}}{9.1} \cdot {10}^{-31}\\&=\frac{\frac{136}{125} \cdot \frac{1}{10000000000000000000}}{9.1} \cdot {10}^{-31}\\&=\frac{\frac{17}{156250000000000000000}}{9.1} \cdot {10}^{-31}\\&=\frac{\frac{17}{156250000000000000000}}{\frac{91}{10}} \cdot {10}^{-31}\\&=\frac{17}{1421875000000000000000} \cdot {10}^{-31}\\&=\frac{17}{1421875000000000000000} \cdot \frac{1}{10000000000000000000000000000000}\\&=\frac{17}{14218750000000000000000000000000000000000000000000000}\end{aligned}

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