Solve 1.989*10^30/5.976*10^24

$$\frac{ 1.989 \times { 10 }^{ 30 } }{ 5.976 \times { 10 }^{ 24 } }$$

Evaluate

$$\frac{27625000}{83}\approx 332831.325301205$$

Solution Steps

Cancel out 10^{24} in both numerator and denominator.

$$\frac{1.989\times 10^{6}}{5.976}$$

Calculate 10 to the power of 6 and get 1000000.

$$\frac{1.989\times 1000000}{5.976}$$

Multiply 1.989 and 1000000 to get 1989000.

$$\frac{1989000}{5.976}$$

Expand \frac{1989000}{5.976} by multiplying both numerator and the denominator by 1000.

$$\frac{1989000000}{5976}$$

Reduce the fraction \frac{1989000000}{5976} to lowest terms by extracting and canceling out 72.

$$\frac{27625000}{83}$$

Factor

$$\frac{13 \cdot 17 \cdot 2 ^ {3} \cdot 5 ^ {6}}{83} = 332831\frac{27}{83} = 332831.3253012048$$