(6.673 ∗ 10^-11 ∗ 5.98 ∗ 10^24 ∗1.99∗10^30)/(160∗10^9)

asked by guest
on Nov 27, 2024 at 7:25 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 {10}^{24} \cdot 1.99 \cdot {10}^{30}}{160 \cdot {10}^{9}}

MathBot Answer:

6.673⋅10−11⋅5.98⋅1024⋅1.99⋅1030160⋅109=4963127162500000000000000000000000\frac{6.673 \cdot {10}^{-11} \cdot 5.98 \cdot {10}^{24} \cdot 1.99 \cdot {10}^{30}}{160 \cdot {10}^{9}} = 4963127162500000000000000000000000

6.673⋅10−11⋅5.98⋅1024⋅1.99⋅1030160⋅109=66731000⋅10−11⋅5.98⋅1024⋅1.99⋅1030160⋅109=66731000⋅1100000000000⋅5.98⋅1024⋅1.99⋅1030160⋅109=6673100000000000000⋅5.98⋅1024⋅1.99⋅1030160⋅109=6673100000000000000⋅29950⋅1024⋅1.99⋅1030160⋅109=19952275000000000000000⋅1024⋅1.99⋅1030160⋅109=19952275000000000000000⋅1000000000000000000000000⋅1.99⋅1030160⋅109=399045400000000⋅1.99⋅1030160⋅109=399045400000000⋅199100⋅1030160⋅109=794100346000000⋅1030160⋅109=794100346000000⋅1000000000000000000000000000000160⋅109=794100346000000000000000000000000000000000000160⋅109=794100346000000000000000000000000000000000000160⋅1000000000=794100346000000000000000000000000000000000000160000000000=4963127162500000000000000000000000\begin{aligned}\frac{6.673 \cdot {10}^{-11} \cdot 5.98 \cdot {10}^{24} \cdot 1.99 \cdot {10}^{30}}{160 \cdot {10}^{9}}&=\frac{\frac{6673}{1000} \cdot {10}^{-11} \cdot 5.98 \cdot {10}^{24} \cdot 1.99 \cdot {10}^{30}}{160 \cdot {10}^{9}}\\&=\frac{\frac{6673}{1000} \cdot \frac{1}{100000000000} \cdot 5.98 \cdot {10}^{24} \cdot 1.99 \cdot {10}^{30}}{160 \cdot {10}^{9}}\\&=\frac{\frac{6673}{100000000000000} \cdot 5.98 \cdot {10}^{24} \cdot 1.99 \cdot {10}^{30}}{160 \cdot {10}^{9}}\\&=\frac{\frac{6673}{100000000000000} \cdot \frac{299}{50} \cdot {10}^{24} \cdot 1.99 \cdot {10}^{30}}{160 \cdot {10}^{9}}\\&=\frac{\frac{1995227}{5000000000000000} \cdot {10}^{24} \cdot 1.99 \cdot {10}^{30}}{160 \cdot {10}^{9}}\\&=\frac{\frac{1995227}{5000000000000000} \cdot 1000000000000000000000000 \cdot 1.99 \cdot {10}^{30}}{160 \cdot {10}^{9}}\\&=\frac{399045400000000 \cdot 1.99 \cdot {10}^{30}}{160 \cdot {10}^{9}}\\&=\frac{399045400000000 \cdot \frac{199}{100} \cdot {10}^{30}}{160 \cdot {10}^{9}}\\&=\frac{794100346000000 \cdot {10}^{30}}{160 \cdot {10}^{9}}\\&=\frac{794100346000000 \cdot 1000000000000000000000000000000}{160 \cdot {10}^{9}}\\&=\frac{794100346000000000000000000000000000000000000}{160 \cdot {10}^{9}}\\&=\frac{794100346000000000000000000000000000000000000}{160 \cdot 1000000000}\\&=\frac{794100346000000000000000000000000000000000000}{160000000000}\\&=4963127162500000000000000000000000\end{aligned}

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