Resolver 667*10^-11190*10^27*(108*10^23)/(19*10^6)*(19*{10^6)}

$$667 \times { 10 }^{ -11 } \frac{ 190 \times { 10 }^{ 27 } \times (108 \times { 10 }^{ 23 } ) }{ (19 \times { 10 }^{ 6 } ) \times (19 \times { 10 }^{ 6 } ) }$$

Avaliar

$$\frac{720360000000000000000000000000000}{19}\approx 3,791368421 \cdot 10^{31}$$

Passos Para a Resolução

Para multiplicar as potências da mesma base, some os seus expoentes. Some 27 e 23 para obter 50.

$$667\times 10^{-11}\times \frac{190\times 10^{50}\times 108}{19\times 10^{6}\times 19\times 10^{6}}$$

Para multiplicar as potências da mesma base, some os seus expoentes. Some 6 e 6 para obter 12.

$$667\times 10^{-11}\times \frac{190\times 10^{50}\times 108}{19\times 10^{12}\times 19}$$

Calcule 10 elevado a -11 e obtenha \frac{1}{100000000000}.

$$667\times \frac{1}{100000000000}\times \frac{190\times 10^{50}\times 108}{19\times 10^{12}\times 19}$$

Multiplique 667 e \frac{1}{100000000000} para obter \frac{667}{100000000000}.

$$\frac{667}{100000000000}\times \frac{190\times 10^{50}\times 108}{19\times 10^{12}\times 19}$$

Anule 10\times 19\times 10^{11} no numerador e no denominador.

$$\frac{667}{100000000000}\times \frac{108\times 10^{39}}{19}$$

Calcule 10 elevado a 39 e obtenha 1000000000000000000000000000000000000000.

$$\frac{667}{100000000000}\times \frac{108\times 1000000000000000000000000000000000000000}{19}$$

Multiplique 108 e 1000000000000000000000000000000000000000 para obter 108000000000000000000000000000000000000000.

$$\frac{667}{100000000000}\times \frac{108000000000000000000000000000000000000000}{19}$$

Multiplique \frac{667}{100000000000} e \frac{108000000000000000000000000000000000000000}{19} para obter \frac{720360000000000000000000000000000}{19}.

$$\frac{720360000000000000000000000000000}{19}$$

Fatorizar

$$\frac{2 ^ {30} \cdot 3 ^ {3} \cdot 5 ^ {28} \cdot 23 \cdot 29}{19} = 3,7913684210526317 \times 10^{31}\frac{6}{19} = 3,7913684210526317 \times 10^{31}$$