Solve 19*10^27div132*10^22

$$19 \times 10 ^ { 27 } \div 132 \times 10 ^ { 22 }$$

Evaluate

$$\frac{47500000000000000000000000000000000000000000000000}{33}\approx 1.439393939 \cdot 10^{48}$$

Solution Steps

Calculate 10 to the power of 27 and get 1000000000000000000000000000.

$$\frac{19\times 1000000000000000000000000000}{132}\times 10^{22}$$

Multiply 19 and 1000000000000000000000000000 to get 19000000000000000000000000000.

$$\frac{19000000000000000000000000000}{132}\times 10^{22}$$

Reduce the fraction \frac{19000000000000000000000000000}{132} to lowest terms by extracting and canceling out 4.

$$\frac{4750000000000000000000000000}{33}\times 10^{22}$$

Calculate 10 to the power of 22 and get 10000000000000000000000.

$$\frac{4750000000000000000000000000}{33}\times 10000000000000000000000$$

Express \frac{4750000000000000000000000000}{33}\times 10000000000000000000000 as a single fraction.

$$\frac{4750000000000000000000000000\times 10000000000000000000000}{33}$$

Multiply 4750000000000000000000000000 and 10000000000000000000000 to get 47500000000000000000000000000000000000000000000000.

$$\frac{47500000000000000000000000000000000000000000000000}{33}$$

Factor

$$\frac{2 ^ {47} \cdot 5 ^ {49} \cdot 19}{3 \cdot 11} = 1.4393939393939394 \times 10^{48}\frac{19}{33} = 1.4393939393939394 \times 10^{48}$$