Solve 8200*540*10^24/0,38*70^3+800*6,67*10^-11

$$\frac { 8200 \times 540 \times 10 ^ { 24 } } { 0,38 \times 70 ^ { 3 } + 800 } \times 6,67 \times 10 ^ { - 11 }$$

Evaluate

$$\frac{14767380000000000000}{6557}\approx 2,252154949 \cdot 10^{15}$$

Solution Steps

Multiply 8200 and 540 to get 4428000.

$$\frac{4428000\times 10^{24}}{0,38\times 70^{3}+800}\times 6,67\times 10^{-11}$$

Calculate 10 to the power of 24 and get 1000000000000000000000000.

$$\frac{4428000\times 1000000000000000000000000}{0,38\times 70^{3}+800}\times 6,67\times 10^{-11}$$

Multiply 4428000 and 1000000000000000000000000 to get 4428000000000000000000000000000.

$$\frac{4428000000000000000000000000000}{0,38\times 70^{3}+800}\times 6,67\times 10^{-11}$$

Calculate 70 to the power of 3 and get 343000.

$$\frac{4428000000000000000000000000000}{0,38\times 343000+800}\times 6,67\times 10^{-11}$$

Multiply 0,38 and 343000 to get 130340.

$$\frac{4428000000000000000000000000000}{130340+800}\times 6,67\times 10^{-11}$$

Add 130340 and 800 to get 131140.

$$\frac{4428000000000000000000000000000}{131140}\times 6,67\times 10^{-11}$$

Reduce the fraction \frac{4428000000000000000000000000000}{131140} to lowest terms by extracting and canceling out 20.

$$\frac{221400000000000000000000000000}{6557}\times 6,67\times 10^{-11}$$

Multiply \frac{221400000000000000000000000000}{6557} and 6,67 to get \frac{1476738000000000000000000000000}{6557}.

$$\frac{1476738000000000000000000000000}{6557}\times 10^{-11}$$

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

$$\frac{1476738000000000000000000000000}{6557}\times \frac{1}{100000000000}$$

Multiply \frac{1476738000000000000000000000000}{6557} and \frac{1}{100000000000} to get \frac{14767380000000000000}{6557}.

$$\frac{14767380000000000000}{6557}$$

Factor

$$\frac{23 \cdot 29 \cdot 41 \cdot 2 ^ {14} \cdot 3 ^ {3} \cdot 5 ^ {13}}{79 \cdot 83} = 2252154948909562\frac{1966}{6557} = 2252154948909562.5$$