Solve 6,67*10^-11*5,97*10^21*7,35*10^22/(3,84*10^8

$$6,67 \cdot 10 ^ { - 11 } \cdot \frac { 5,97 \cdot 10 ^ { 21 } \cdot 7,35 \cdot 10 ^ { 22 } } { ( 3,84 \cdot 10 ^ { 8 } }$$

Evaluate

$$76217777343750000000000000$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 21 and 22 to get 43.

$$6,67\times 10^{-11}\times \frac{5,97\times 10^{43}\times 7,35}{3,84\times 10^{8}}$$

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

$$6,67\times \frac{1}{100000000000}\times \frac{5,97\times 10^{43}\times 7,35}{3,84\times 10^{8}}$$

Multiply 6,67 and \frac{1}{100000000000} to get \frac{667}{10000000000000}.

$$\frac{667}{10000000000000}\times \frac{5,97\times 10^{43}\times 7,35}{3,84\times 10^{8}}$$

Cancel out 10^{8} in both numerator and denominator.

$$\frac{667}{10000000000000}\times \frac{5,97\times 7,35\times 10^{35}}{3,84}$$

Multiply 5,97 and 7,35 to get 43,8795.

$$\frac{667}{10000000000000}\times \frac{43,8795\times 10^{35}}{3,84}$$

Calculate 10 to the power of 35 and get 100000000000000000000000000000000000.

$$\frac{667}{10000000000000}\times \frac{43,8795\times 100000000000000000000000000000000000}{3,84}$$

Multiply 43,8795 and 100000000000000000000000000000000000 to get 4387950000000000000000000000000000000.

$$\frac{667}{10000000000000}\times \frac{4387950000000000000000000000000000000}{3,84}$$

Expand \frac{4387950000000000000000000000000000000}{3,84} by multiplying both numerator and the denominator by 100.

$$\frac{667}{10000000000000}\times \frac{438795000000000000000000000000000000000}{384}$$

Divide 438795000000000000000000000000000000000 by 384 to get 1142695312500000000000000000000000000.

$$\frac{667}{10000000000000}\times 1142695312500000000000000000000000000$$

Multiply \frac{667}{10000000000000} and 1142695312500000000000000000000000000 to get 76217777343750000000000000.

$$76217777343750000000000000$$

Factor

$$3\times 23\times 29\times 199\times 2^{13}\times 5^{21}\times 7^{2}$$