Solve 3500*(5.98*10^24)*6.67*10^-11/770

$$3500 \times (5.98 \times { 10 }^{ 24 } ) \times \frac{ 6.67 \times { 10 }^{ -11 } }{ 770 }$$

Evaluate

$$\frac{19943300000000000}{11}\approx 1.813027273 \cdot 10^{15}$$

Solution Steps

Multiply 3500 and 5.98 to get 20930.

$$20930\times 10^{24}\times \frac{6.67\times 10^{-11}}{770}$$

Calculate 10 to the power of 24 and get 1000000000000000000000000.

$$20930\times 1000000000000000000000000\times \frac{6.67\times 10^{-11}}{770}$$

Multiply 20930 and 1000000000000000000000000 to get 20930000000000000000000000000.

$$20930000000000000000000000000\times \frac{6.67\times 10^{-11}}{770}$$

Calculate 10 to the power of -11 and get \frac{1}{100000000000}.

$$20930000000000000000000000000\times \frac{6.67\times \frac{1}{100000000000}}{770}$$

Multiply 6.67 and \frac{1}{100000000000} to get \frac{667}{10000000000000}.

$$20930000000000000000000000000\times \frac{\frac{667}{10000000000000}}{770}$$

Express \frac{\frac{667}{10000000000000}}{770} as a single fraction.

$$20930000000000000000000000000\times \frac{667}{10000000000000\times 770}$$

Multiply 10000000000000 and 770 to get 7700000000000000.

$$20930000000000000000000000000\times \frac{667}{7700000000000000}$$

Multiply 20930000000000000000000000000 and \frac{667}{7700000000000000} to get \frac{19943300000000000}{11}.

$$\frac{19943300000000000}{11}$$

Factor

$$\frac{13 \cdot 29 \cdot 2 ^ {11} \cdot 5 ^ {11} \cdot 23 ^ {2}}{11} = 1813027272727272\frac{8}{11} = 1813027272727272.8$$