Solve 8200*5.98*10^24/6*38*10^3+8006.67*10^-11

$$\frac{ 8200 \cdot 5.98 \times { 10 }^{ 24 } }{ 6 \cdot 38 \times { 10 }^{ 3 } +800 } 6.67 \times { 10 }^{ -11 }$$

Evaluate

$$\frac{157245250000000}{11}\approx 1.429502273 \cdot 10^{13}$$

Solution Steps

Multiply 8200 and 5.98 to get 49036.

$$\frac{49036\times 10^{24}}{6\times 38\times 10^{3}+800}\times 6.67\times 10^{-11}$$

Calculate 10 to the power of 24 and get 1000000000000000000000000.

$$\frac{49036\times 1000000000000000000000000}{6\times 38\times 10^{3}+800}\times 6.67\times 10^{-11}$$

Multiply 49036 and 1000000000000000000000000 to get 49036000000000000000000000000.

$$\frac{49036000000000000000000000000}{6\times 38\times 10^{3}+800}\times 6.67\times 10^{-11}$$

Multiply 6 and 38 to get 228.

$$\frac{49036000000000000000000000000}{228\times 10^{3}+800}\times 6.67\times 10^{-11}$$

Calculate 10 to the power of 3 and get 1000.

$$\frac{49036000000000000000000000000}{228\times 1000+800}\times 6.67\times 10^{-11}$$

Multiply 228 and 1000 to get 228000.

$$\frac{49036000000000000000000000000}{228000+800}\times 6.67\times 10^{-11}$$

Add 228000 and 800 to get 228800.

$$\frac{49036000000000000000000000000}{228800}\times 6.67\times 10^{-11}$$

Reduce the fraction \frac{49036000000000000000000000000}{228800} to lowest terms by extracting and canceling out 20800.

$$\frac{2357500000000000000000000}{11}\times 6.67\times 10^{-11}$$

Multiply \frac{2357500000000000000000000}{11} and 6.67 to get \frac{15724525000000000000000000}{11}.

$$\frac{15724525000000000000000000}{11}\times 10^{-11}$$

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

$$\frac{15724525000000000000000000}{11}\times \frac{1}{100000000000}$$

Multiply \frac{15724525000000000000000000}{11} and \frac{1}{100000000000} to get \frac{157245250000000}{11}.

$$\frac{157245250000000}{11}$$

Factor

$$\frac{29 \cdot 41 \cdot 2 ^ {7} \cdot 5 ^ {9} \cdot 23 ^ {2}}{11} = 14295022727272\frac{8}{11} = 14295022727272.727$$