Ratkaise 19*10^27div132*10^22

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

Laske

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

Ratkaisun vaiheet

Laske 10 potenssiin 27, jolloin ratkaisuksi tulee 1000000000000000000000000000.

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

Kerro 19 ja 1000000000000000000000000000, niin saadaan 19000000000000000000000000000.

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

Supista murtoluku \frac{19000000000000000000000000000}{132} luvulla 4.

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

Laske 10 potenssiin 22, jolloin ratkaisuksi tulee 10000000000000000000000.

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

Ilmaise \frac{4750000000000000000000000000}{33}\times 10000000000000000000000 säännöllisenä murtolukuna.

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

Kerro 4750000000000000000000000000 ja 10000000000000000000000, niin saadaan 47500000000000000000000000000000000000000000000000.

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

Jaa tekijöihin

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