Solve 9.8*6400000^2/6.67*10^-11

$$\frac { 9.8 \times 6400000 ^ { 2 } } { 6.67 \times 10 ^ { - 11 } }$$

Evaluate

$$\frac{4014080000000000000000000000}{667}\approx 6.018110945 \cdot 10^{24}$$

Solution Steps

Calculate 6400000 to the power of 2 and get 40960000000000.

$$\frac{9.8\times 40960000000000}{6.67\times 10^{-11}}$$

Multiply 9.8 and 40960000000000 to get 401408000000000.

$$\frac{401408000000000}{6.67\times 10^{-11}}$$

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

$$\frac{401408000000000}{6.67\times \frac{1}{100000000000}}$$

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

$$\frac{401408000000000}{\frac{667}{10000000000000}}$$

Divide 401408000000000 by \frac{667}{10000000000000} by multiplying 401408000000000 by the reciprocal of \frac{667}{10000000000000}.

$$401408000000000\times \frac{10000000000000}{667}$$

Multiply 401408000000000 and \frac{10000000000000}{667} to get \frac{4014080000000000000000000000}{667}.

$$\frac{4014080000000000000000000000}{667}$$

Factor

$$\frac{2 ^ {35} \cdot 5 ^ {22} \cdot 7 ^ {2}}{23 \cdot 29} = 6.018110944527737 \times 10^{24}\frac{247}{667} = 6.018110944527737 \times 10^{24}$$