Solve 6.67*10^-111.1*10^13/{left(frac{5400{2}right)}^2}

$$6.67 \times { 10 }^{ -11 } \frac{ 1.1 \times { 10 }^{ 13 } }{ { \left( \frac{ 5400 }{ 2 } \right) }^{ 2 } }$$

Evaluate

$$\frac{7337}{72900000}\approx 0.000100645$$

Solution Steps

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

$$6.67\times \frac{1}{100000000000}\times \frac{1.1\times 10^{13}}{\left(\frac{5400}{2}\right)^{2}}$$

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

$$\frac{667}{10000000000000}\times \frac{1.1\times 10^{13}}{\left(\frac{5400}{2}\right)^{2}}$$

Calculate 10 to the power of 13 and get 10000000000000.

$$\frac{667}{10000000000000}\times \frac{1.1\times 10000000000000}{\left(\frac{5400}{2}\right)^{2}}$$

Multiply 1.1 and 10000000000000 to get 11000000000000.

$$\frac{667}{10000000000000}\times \frac{11000000000000}{\left(\frac{5400}{2}\right)^{2}}$$

Divide 5400 by 2 to get 2700.

$$\frac{667}{10000000000000}\times \frac{11000000000000}{2700^{2}}$$

Calculate 2700 to the power of 2 and get 7290000.

$$\frac{667}{10000000000000}\times \frac{11000000000000}{7290000}$$

Reduce the fraction \frac{11000000000000}{7290000} to lowest terms by extracting and canceling out 10000.

$$\frac{667}{10000000000000}\times \frac{1100000000}{729}$$

Multiply \frac{667}{10000000000000} and \frac{1100000000}{729} to get \frac{7337}{72900000}.

$$\frac{7337}{72900000}$$

Factor

$$\frac{11 \cdot 23 \cdot 29}{2 ^ {5} \cdot 3 ^ {6} \cdot 5 ^ {5}} = 0.00010064471879286694$$