Resolver 66764219*1989110^42/2279410^11

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

Avaliar

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

Passos Para a Resolução

Anule 10^{11} no numerador e no denominador.

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

Multiplique 19891 e 64219 para obter 1277380129.

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

Calcule 10 elevado a 31 e obtenha 10000000000000000000000000000000.

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

Multiplique 1277380129 e 10000000000000000000000000000000 para obter 12773801290000000000000000000000000000000.

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

Reduza a fração \frac{12773801290000000000000000000000000000000}{22794} para os termos mais baixos ao retirar e anular 2.

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

Expresse 667\times \frac{6386900645000000000000000000000000000000}{11397} como uma fração única.

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

Multiplique 667 e 6386900645000000000000000000000000000000 para obter 4260062730215000000000000000000000000000000.

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

Reduza a fração \frac{4260062730215000000000000000000000000000000}{11397} para os termos mais baixos ao retirar e anular 29.

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

Fatorizar

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