Solve 10^22+10^20/1,20

$$\frac { 10 ^ { 22 } + 10 ^ { 20 } } { 1,20 }$$

Evaluate

$$\frac{25250000000000000000000}{3}\approx 8,416666667 \cdot 10^{21}$$

Solution Steps

Calculate 10 to the power of 22 and get 10000000000000000000000.

$$\frac{10000000000000000000000+10^{20}}{1,2}$$

Calculate 10 to the power of 20 and get 100000000000000000000.

$$\frac{10000000000000000000000+100000000000000000000}{1,2}$$

Add 10000000000000000000000 and 100000000000000000000 to get 10100000000000000000000.

$$\frac{10100000000000000000000}{1,2}$$

Expand \frac{10100000000000000000000}{1,2} by multiplying both numerator and the denominator by 10.

$$\frac{101000000000000000000000}{12}$$

Reduce the fraction \frac{101000000000000000000000}{12} to lowest terms by extracting and canceling out 4.

$$\frac{25250000000000000000000}{3}$$

Factor

$$\frac{101 \cdot 2 ^ {19} \cdot 5 ^ {21}}{3} = 8.416666666666666 \times 10^{21}$$