Solve 3.086*10^22/3.15576*10^10

$$\frac { 3.086 \times 10 ^ { 22 } } { 3.15576 \times 10 ^ { 10 } }$$

Evaluate

$$\frac{38575000000000000}{39447}\approx 977894389940.933404315$$

Solution Steps

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

$$\frac{3.086\times 10^{12}}{3.15576}$$

Calculate 10 to the power of 12 and get 1000000000000.

$$\frac{3.086\times 1000000000000}{3.15576}$$

Multiply 3.086 and 1000000000000 to get 3086000000000.

$$\frac{3086000000000}{3.15576}$$

Expand \frac{3086000000000}{3.15576} by multiplying both numerator and the denominator by 100000.

$$\frac{308600000000000000}{315576}$$

Reduce the fraction \frac{308600000000000000}{315576} to lowest terms by extracting and canceling out 8.

$$\frac{38575000000000000}{39447}$$

Factor

$$\frac{1543 \cdot 2 ^ {12} \cdot 5 ^ {14}}{487 \cdot 3 ^ {4}} = 977894389940\frac{36820}{39447} = 977894389940.9333$$