Lahenda 66764219*1989110^42/2279410^11

$$667 \frac{ 64219 \cdot 19891 { 10 }^{ 42 } }{ 22794 { 10 }^{ 11 } }$$

Arvuta

$$\frac{146898714835000000000000000000000000000000}{393}\approx 3,737880785 \cdot 10^{38}$$

Lahenduse etapid

Taandage 10^{11} nii lugejas kui ka nimetajas.

$$667\times \frac{19891\times 64219\times 10^{31}}{22794}$$

Korrutage 19891 ja 64219, et leida 1277380129.

$$667\times \frac{1277380129\times 10^{31}}{22794}$$

Arvutage 31 aste 10 ja leidke 10000000000000000000000000000000.

$$667\times \frac{1277380129\times 10000000000000000000000000000000}{22794}$$

Korrutage 1277380129 ja 10000000000000000000000000000000, et leida 12773801290000000000000000000000000000000.

$$667\times \frac{12773801290000000000000000000000000000000}{22794}$$

Taandage murd \frac{12773801290000000000000000000000000000000}{22794} vähimale ühiskordsele, eraldades ja taandades arvu 2.

$$667\times \frac{6386900645000000000000000000000000000000}{11397}$$

Avaldage 667\times \frac{6386900645000000000000000000000000000000}{11397} ühe murdarvuna.

$$\frac{667\times 6386900645000000000000000000000000000000}{11397}$$

Korrutage 667 ja 6386900645000000000000000000000000000000, et leida 4260062730215000000000000000000000000000000.

$$\frac{4260062730215000000000000000000000000000000}{11397}$$

Taandage murd \frac{4260062730215000000000000000000000000000000}{11397} vähimale ühiskordsele, eraldades ja taandades arvu 29.

$$\frac{146898714835000000000000000000000000000000}{393}$$

Lahuta teguriteks

$$\frac{2 ^ {30} \cdot 5 ^ {31} \cdot 23 \cdot 149 \cdot 431 \cdot 19891}{3 \cdot 131} = 3,7378807846055984 \times 10^{38}\frac{123}{393} = 3,7378807846055984 \times 10^{38}$$