Solve 7*9.8*1900^2/6.67*10^-11*2200*10^7

$$\frac { 7 \times 9.8 \times 1900 ^ { 2 } } { 6.67 \times 10 ^ { - 11 } \times 2200 \times 10 ^ { 7 } }$$

Evaluate

$$\frac{1238230000000}{7337}\approx 168765162.8731089$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -11 and 7 to get -4.

$$\frac{7\times 9.8\times 1900^{2}}{6.67\times 10^{-4}\times 2200}$$

Multiply 7 and 9.8 to get 68.6.

$$\frac{68.6\times 1900^{2}}{6.67\times 10^{-4}\times 2200}$$

Calculate 1900 to the power of 2 and get 3610000.

$$\frac{68.6\times 3610000}{6.67\times 10^{-4}\times 2200}$$

Multiply 68.6 and 3610000 to get 247646000.

$$\frac{247646000}{6.67\times 10^{-4}\times 2200}$$

Calculate 10 to the power of -4 and get \frac{1}{10000}.

$$\frac{247646000}{6.67\times \frac{1}{10000}\times 2200}$$

Multiply 6.67 and \frac{1}{10000} to get \frac{667}{1000000}.

$$\frac{247646000}{\frac{667}{1000000}\times 2200}$$

Multiply \frac{667}{1000000} and 2200 to get \frac{7337}{5000}.

$$\frac{247646000}{\frac{7337}{5000}}$$

Divide 247646000 by \frac{7337}{5000} by multiplying 247646000 by the reciprocal of \frac{7337}{5000}.

$$247646000\times \frac{5000}{7337}$$

Multiply 247646000 and \frac{5000}{7337} to get \frac{1238230000000}{7337}.

$$\frac{1238230000000}{7337}$$

Factor

$$\frac{2 ^ {7} \cdot 5 ^ {7} \cdot 7 ^ {3} \cdot 19 ^ {2}}{11 \cdot 23 \cdot 29} = 168765162\frac{6406}{7337} = 168765162.8731089$$