Solve 9.8*(64*10^6)^2/6.67*10^-11

$$\frac { 9.8 \times ( 64 \times 10 ^ { 6 } ) ^ { 2 } } { 6.67 \times 10 ^ { - 11 } }$$

Evaluate

$$\frac{401408000000000000000000000000}{667}\approx 6.018110945 \cdot 10^{26}$$

Solution Steps

Calculate 10 to the power of 6 and get 1000000.

$$\frac{9.8\times \left(64\times 1000000\right)^{2}}{6.67\times 10^{-11}}$$

Multiply 64 and 1000000 to get 64000000.

$$\frac{9.8\times 64000000^{2}}{6.67\times 10^{-11}}$$

Calculate 64000000 to the power of 2 and get 4096000000000000.

$$\frac{9.8\times 4096000000000000}{6.67\times 10^{-11}}$$

Multiply 9.8 and 4096000000000000 to get 40140800000000000.

$$\frac{40140800000000000}{6.67\times 10^{-11}}$$

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

$$\frac{40140800000000000}{6.67\times \frac{1}{100000000000}}$$

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

$$\frac{40140800000000000}{\frac{667}{10000000000000}}$$

Divide 40140800000000000 by \frac{667}{10000000000000} by multiplying 40140800000000000 by the reciprocal of \frac{667}{10000000000000}.

$$40140800000000000\times \frac{10000000000000}{667}$$

Multiply 40140800000000000 and \frac{10000000000000}{667} to get \frac{401408000000000000000000000000}{667}.

$$\frac{401408000000000000000000000000}{667}$$

Factor

$$\frac{2 ^ {37} \cdot 5 ^ {24} \cdot 7 ^ {2}}{23 \cdot 29} = 6.018110944527736 \times 10^{26}\frac{112}{667} = 6.018110944527736 \times 10^{26}$$