Solve 9.8*6.37*10^6/6.67*10^-11

$$\frac{ 9.8 \times 6.37 \times { 10 }^{ 6 } }{ 6.67 \times { 10 }^{ -11 } }$$

Evaluate

$$\frac{624260000000000000000}{667}\approx 9.35922039 \cdot 10^{17}$$

Solution Steps

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.

$$\frac{6.37\times 9.8\times 10^{17}}{6.67}$$

Multiply 6.37 and 9.8 to get 62.426.

$$\frac{62.426\times 10^{17}}{6.67}$$

Calculate 10 to the power of 17 and get 100000000000000000.

$$\frac{62.426\times 100000000000000000}{6.67}$$

Multiply 62.426 and 100000000000000000 to get 6242600000000000000.

$$\frac{6242600000000000000}{6.67}$$

Expand \frac{6242600000000000000}{6.67} by multiplying both numerator and the denominator by 100.

$$\frac{624260000000000000000}{667}$$

Factor

$$\frac{13 \cdot 2 ^ {17} \cdot 5 ^ {16} \cdot 7 ^ {4}}{23 \cdot 29} = 9.359220389805097 \times 10^{17}\frac{85}{667} = 9.359220389805097 \times 10^{17}$$