Solve 6x10^24/5.5x10^3

$$\frac{ 6x { 10 }^{ 24 } }{ 5.5x { 10 }^{ 3 } }$$

Evaluate

$$\frac{12000000000000000000000}{11}\approx 1.090909091 \cdot 10^{21}$$

Solution Steps

Cancel out 10^{3}x in both numerator and denominator.

$$\frac{6\times 10^{21}}{5.5}$$

Calculate 10 to the power of 21 and get 1000000000000000000000.

$$\frac{6\times 1000000000000000000000}{5.5}$$

Multiply 6 and 1000000000000000000000 to get 6000000000000000000000.

$$\frac{6000000000000000000000}{5.5}$$

Expand \frac{6000000000000000000000}{5.5} by multiplying both numerator and the denominator by 10.

$$\frac{60000000000000000000000}{55}$$

Reduce the fraction \frac{60000000000000000000000}{55} to lowest terms by extracting and canceling out 5.

$$\frac{12000000000000000000000}{11}$$

Factor

$$\frac{3 \cdot 2 ^ {23} \cdot 5 ^ {21}}{11} = 1.0909090909090908 \times 10^{21}\frac{10}{11} = 1.0909090909090908 \times 10^{21}$$