Solve 6.67*10^-11(1.0247*10^26)/(frac{49532{2})*1000}

$$6.67 \times 10 ^ { - 11 } \frac { ( 1.0247 \times 10 ^ { 26 } ) } { ( \frac { 49532 } { 2 } ) \cdot 1000 }$$

Evaluate

$$\frac{117840500000}{427}\approx 275973067.915690867$$

Solution Steps

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

$$6.67\times \frac{1}{100000000000}\times \frac{1.0247\times 10^{26}}{\frac{49532}{2}\times 1000}$$

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

$$\frac{667}{10000000000000}\times \frac{1.0247\times 10^{26}}{\frac{49532}{2}\times 1000}$$

Calculate 10 to the power of 26 and get 100000000000000000000000000.

$$\frac{667}{10000000000000}\times \frac{1.0247\times 100000000000000000000000000}{\frac{49532}{2}\times 1000}$$

Multiply 1.0247 and 100000000000000000000000000 to get 102470000000000000000000000.

$$\frac{667}{10000000000000}\times \frac{102470000000000000000000000}{\frac{49532}{2}\times 1000}$$

Divide 49532 by 2 to get 24766.

$$\frac{667}{10000000000000}\times \frac{102470000000000000000000000}{24766\times 1000}$$

Multiply 24766 and 1000 to get 24766000.

$$\frac{667}{10000000000000}\times \frac{102470000000000000000000000}{24766000}$$

Reduce the fraction \frac{102470000000000000000000000}{24766000} to lowest terms by extracting and canceling out 2000.

$$\frac{667}{10000000000000}\times \frac{51235000000000000000000}{12383}$$

Multiply \frac{667}{10000000000000} and \frac{51235000000000000000000}{12383} to get \frac{117840500000}{427}.

$$\frac{117840500000}{427}$$

Factor

$$\frac{23 \cdot 10247 \cdot 2 ^ {5} \cdot 5 ^ {6}}{7 \cdot 61} = 275973067\frac{391}{427} = 275973067.91569084$$