Решете 19*10^27div132*10^22

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

Изчисляване

$$\frac{47500000000000000000000000000000000000000000000000}{33}\approx 1,439393939 \cdot 10^{48}$$

Стъпки на решението

Изчислявате 27 на степен 10 и получавате 1000000000000000000000000000.

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

Умножете 19 по 1000000000000000000000000000, за да получите 19000000000000000000000000000.

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

Намаляване на дробта \frac{19000000000000000000000000000}{132} до най-малките членове чрез извличане на корен и съкращаване на 4.

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

Изчислявате 22 на степен 10 и получавате 10000000000000000000000.

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

Изразете \frac{4750000000000000000000000000}{33}\times 10000000000000000000000 като една дроб.

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

Умножете 4750000000000000000000000000 по 10000000000000000000000, за да получите 47500000000000000000000000000000000000000000000000.

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

Разлагане на множители

$$\frac{2 ^ {47} \cdot 5 ^ {49} \cdot 19}{3 \cdot 11} = 1,4393939393939394 \times 10^{48}\frac{19}{33} = 1,4393939393939394 \times 10^{48}$$