Løs 19*10^27div132*10^22

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

Evaluer

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

Løsningsvejledning

Beregn 10 til potensen af 27, og få 1000000000000000000000000000.

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

Multiplicer 19 og 1000000000000000000000000000 for at få 19000000000000000000000000000.

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

Reducer fraktionen \frac{19000000000000000000000000000}{132} til de laveste led ved at udtrække og annullere 4.

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

Beregn 10 til potensen af 22, og få 10000000000000000000000.

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

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

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

Multiplicer 4750000000000000000000000000 og 10000000000000000000000 for at få 47500000000000000000000000000000000000000000000000.

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

Faktoriser

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