Solve 6,67*10^11*95*5,98*10^24/(6,348*10^62)^2

$$6,67 \cdot 10 ^ { 11 } \cdot \frac { 95 \cdot 5,98 \cdot 10 ^ { 24 } } { ( 6,348 \cdot 10 ^ { 62 } ) ^ { 2 } }$$

Evaluate

$$\frac{7163}{7617600000000000000000000000000000000000000000000000000000000000000000000000000000000000000}\approx 9,403224113 \cdot 10^{-88}$$

Solution Steps

Calculate 10 to the power of 11 and get 100000000000.

$$6,67\times 100000000000\times \frac{95\times 5,98\times 10^{24}}{\left(6,348\times 10^{62}\right)^{2}}$$

Multiply 6,67 and 100000000000 to get 667000000000.

$$667000000000\times \frac{95\times 5,98\times 10^{24}}{\left(6,348\times 10^{62}\right)^{2}}$$

Multiply 95 and 5,98 to get 568,1.

$$667000000000\times \frac{568,1\times 10^{24}}{\left(6,348\times 10^{62}\right)^{2}}$$

Calculate 10 to the power of 24 and get 1000000000000000000000000.

$$667000000000\times \frac{568,1\times 1000000000000000000000000}{\left(6,348\times 10^{62}\right)^{2}}$$

Multiply 568,1 and 1000000000000000000000000 to get 568100000000000000000000000.

$$667000000000\times \frac{568100000000000000000000000}{\left(6,348\times 10^{62}\right)^{2}}$$

Calculate 10 to the power of 62 and get 100000000000000000000000000000000000000000000000000000000000000.

$$667000000000\times \frac{568100000000000000000000000}{\left(6,348\times 100000000000000000000000000000000000000000000000000000000000000\right)^{2}}$$

Multiply 6,348 and 100000000000000000000000000000000000000000000000000000000000000 to get 634800000000000000000000000000000000000000000000000000000000000.

$$667000000000\times \frac{568100000000000000000000000}{634800000000000000000000000000000000000000000000000000000000000^{2}}$$

Calculate 634800000000000000000000000000000000000000000000000000000000000 to the power of 2 and get 402971040000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000.

$$667000000000\times \frac{568100000000000000000000000}{402971040000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}$$

Reduce the fraction \frac{568100000000000000000000000}{402971040000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000} to lowest terms by extracting and canceling out 2300000000000000000000000.

$$667000000000\times \frac{247}{175204800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000}$$

Multiply 667000000000 and \frac{247}{175204800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000} to get \frac{7163}{7617600000000000000000000000000000000000000000000000000000000000000000000000000000000000000}.

$$\frac{7163}{7617600000000000000000000000000000000000000000000000000000000000000000000000000000000000000}$$

Factor

$$\frac{13 \cdot 19 \cdot 29}{2 ^ {90} \cdot 3 ^ {2} \cdot 5 ^ {86} \cdot 23 ^ {2}} = 9.403224112581391 \times 10^{-88}$$