Resolver 6.67*10^-111.90*10^27*(1.08*10^23)/(1.9*10^6)*(1.9*{10^6)}

$$6.67 \times { 10 }^{ -11 } \frac{ 1.90 \times { 10 }^{ 27 } \times (1.08 \times { 10 }^{ 23 } ) }{ (1.9 \times { 10 }^{ 6 } ) \times (1.9 \times { 10 }^{ 6 } ) }$$

Calcular

$$\frac{72036000000000000000000000000}{19}\approx 3.791368421 \cdot 10^{27}$$

Pasos da solución

Para multiplicar potencias da mesma base, suma os seus expoñentes. Suma 27 e 23 para obter 50.

$$6.67\times 10^{-11}\times \frac{1.9\times 10^{50}\times 1.08}{1.9\times 10^{6}\times 1.9\times 10^{6}}$$

Para multiplicar potencias da mesma base, suma os seus expoñentes. Suma 6 e 6 para obter 12.

$$6.67\times 10^{-11}\times \frac{1.9\times 10^{50}\times 1.08}{1.9\times 10^{12}\times 1.9}$$

Calcula 10 á potencia de -11 e obtén \frac{1}{100000000000}.

$$6.67\times \frac{1}{100000000000}\times \frac{1.9\times 10^{50}\times 1.08}{1.9\times 10^{12}\times 1.9}$$

Multiplica 6.67 e \frac{1}{100000000000} para obter \frac{667}{10000000000000}.

$$\frac{667}{10000000000000}\times \frac{1.9\times 10^{50}\times 1.08}{1.9\times 10^{12}\times 1.9}$$

Anula 10^{12} no numerador e no denominador.

$$\frac{667}{10000000000000}\times \frac{1.08\times 1.9\times 10^{38}}{1.9\times 1.9}$$

Para dividir potencias da mesma base, resta o expoñente do numerador ao expoñente do denominador.

$$\frac{667}{10000000000000}\times \frac{1.08\times 10^{38}}{1.9\times 1.9^{0}}$$

Calcula 10 á potencia de 38 e obtén 100000000000000000000000000000000000000.

$$\frac{667}{10000000000000}\times \frac{1.08\times 100000000000000000000000000000000000000}{1.9\times 1.9^{0}}$$

Multiplica 1.08 e 100000000000000000000000000000000000000 para obter 108000000000000000000000000000000000000.

$$\frac{667}{10000000000000}\times \frac{108000000000000000000000000000000000000}{1.9\times 1.9^{0}}$$

Para multiplicar potencias da mesma base, suma os seus expoñentes. Suma 1 e 0 para obter 1.

$$\frac{667}{10000000000000}\times \frac{108000000000000000000000000000000000000}{1.9^{1}}$$

Calcula 1.9 á potencia de 1 e obtén 1.9.

$$\frac{667}{10000000000000}\times \frac{108000000000000000000000000000000000000}{1.9}$$

Expande \frac{108000000000000000000000000000000000000}{1.9} multiplicando o numerador e o denominador por 10.

$$\frac{667}{10000000000000}\times \frac{1080000000000000000000000000000000000000}{19}$$

Multiplica \frac{667}{10000000000000} e \frac{1080000000000000000000000000000000000000}{19} para obter \frac{72036000000000000000000000000}{19}.

$$\frac{72036000000000000000000000000}{19}$$

Factorizar

$$\frac{23 \cdot 29 \cdot 2 ^ {26} \cdot 3 ^ {3} \cdot 5 ^ {24}}{19} = 3.7913684210526317 \times 10^{27}\frac{9}{19} = 3.7913684210526317 \times 10^{27}$$