Løs 19*10^27div132*10^22

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

Evaluer

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

Løsningstrinn

Regn ut 10 opphøyd i 27 og få 1000000000000000000000000000.

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

Multipliser 19 med 1000000000000000000000000000 for å få 19000000000000000000000000000.

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

Forkort brøken \frac{19000000000000000000000000000}{132} til minste felles nevner ved å dele teller og nevner på 4.

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

Regn ut 10 opphøyd i 22 og få 10000000000000000000000.

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

Uttrykk \frac{4750000000000000000000000000}{33}\times 10000000000000000000000 som en enkelt brøk.

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

Multipliser 4750000000000000000000000000 med 10000000000000000000000 for å få 47500000000000000000000000000000000000000000000000.

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

Faktoriser

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