(6.673 ∗ 10-11 ∗ 5.98 ∗ 1024 ∗1.99∗1030)/(160∗109)

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on Nov 27, 2024 at 7:24 pm



You asked:

Evaluate the expression: 6.673⋅10−11⋅5.98⋅1024⋅1.99⋅1030160⋅109\frac{6.673 \cdot 10 - 11 \cdot 5.98 \cdot 1024 \cdot 1.99 \cdot 1030}{160 \cdot 109}

MathBot Answer:

6.673⋅10−11⋅5.98⋅1024⋅1.99⋅1030160⋅109=−690325508278720000=−7916.5769297018348623853211009174311926605504587155963302752293577981651376146788990825688073394495412844036697247706422‾\frac{6.673 \cdot 10 - 11 \cdot 5.98 \cdot 1024 \cdot 1.99 \cdot 1030}{160 \cdot 109} = - \frac{69032550827}{8720000} = -7916.5769297\overline{018348623853211009174311926605504587155963302752293577981651376146788990825688073394495412844036697247706422}

6.673⋅10−11⋅5.98⋅1024⋅1.99⋅1030160⋅109=66731000⋅10−11⋅5.98⋅1024⋅1.99⋅1030160⋅109=6673100−11⋅5.98⋅1024⋅1.99⋅1030160⋅109=6673100−11⋅29950⋅1024⋅1.99⋅1030160⋅109=6673100−328950⋅1024⋅1.99⋅1030160⋅109=6673100−168396825⋅1.99⋅1030160⋅109=6673100−168396825⋅199100⋅1030160⋅109=6673100−83777408625⋅1030160⋅109=6673100−17258146048125160⋅109=−69032550827500160⋅109=−6903255082750017440=−690325508278720000\begin{aligned}\frac{6.673 \cdot 10 - 11 \cdot 5.98 \cdot 1024 \cdot 1.99 \cdot 1030}{160 \cdot 109}&=\frac{\frac{6673}{1000} \cdot 10 - 11 \cdot 5.98 \cdot 1024 \cdot 1.99 \cdot 1030}{160 \cdot 109}\\&=\frac{\frac{6673}{100} - 11 \cdot 5.98 \cdot 1024 \cdot 1.99 \cdot 1030}{160 \cdot 109}\\&=\frac{\frac{6673}{100} - 11 \cdot \frac{299}{50} \cdot 1024 \cdot 1.99 \cdot 1030}{160 \cdot 109}\\&=\frac{\frac{6673}{100} - \frac{3289}{50} \cdot 1024 \cdot 1.99 \cdot 1030}{160 \cdot 109}\\&=\frac{\frac{6673}{100} - \frac{1683968}{25} \cdot 1.99 \cdot 1030}{160 \cdot 109}\\&=\frac{\frac{6673}{100} - \frac{1683968}{25} \cdot \frac{199}{100} \cdot 1030}{160 \cdot 109}\\&=\frac{\frac{6673}{100} - \frac{83777408}{625} \cdot 1030}{160 \cdot 109}\\&=\frac{\frac{6673}{100} - \frac{17258146048}{125}}{160 \cdot 109}\\&=\frac{\frac{-69032550827}{500}}{160 \cdot 109}\\&=\frac{\frac{-69032550827}{500}}{17440}\\&=\frac{-69032550827}{8720000}\end{aligned}

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