Risolvi 667*64219*19891*10^42/2279410^11

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

Calcola

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

Procedura della soluzione

Cancella 10^{11} nel numeratore e nel denominatore.

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

Moltiplica 19891 e 64219 per ottenere 1277380129.

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

Calcola 10 alla potenza di 31 e ottieni 10000000000000000000000000000000.

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

Moltiplica 1277380129 e 10000000000000000000000000000000 per ottenere 12773801290000000000000000000000000000000.

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

Riduci la frazione \frac{12773801290000000000000000000000000000000}{22794} ai minimi termini estraendo e annullando 2.

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

Esprimi 667\times \frac{6386900645000000000000000000000000000000}{11397} come singola frazione.

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

Moltiplica 667 e 6386900645000000000000000000000000000000 per ottenere 4260062730215000000000000000000000000000000.

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

Riduci la frazione \frac{4260062730215000000000000000000000000000000}{11397} ai minimi termini estraendo e annullando 29.

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

Scomponi in fattori

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