Resolver (5.4*10^17:3.6*10^-12):1.92*10^-12

$$( 5.4 \cdot 10 ^ { 17 } : 3.6 \cdot 10 ^ { - 12 } ) : 1.92 \cdot 10 ^ { - 12 }$$

Calcular

$$0.000000078125$$

Pasos da solución

Calcula 10 á potencia de 17 e obtén 100000000000000000.

$$\frac{\frac{5.4\times 100000000000000000}{3.6}\times 10^{-12}}{1.92}\times 10^{-12}$$

Multiplica 5.4 e 100000000000000000 para obter 540000000000000000.

$$\frac{\frac{540000000000000000}{3.6}\times 10^{-12}}{1.92}\times 10^{-12}$$

Expande \frac{540000000000000000}{3.6} multiplicando o numerador e o denominador por 10.

$$\frac{\frac{5400000000000000000}{36}\times 10^{-12}}{1.92}\times 10^{-12}$$

Divide 5400000000000000000 entre 36 para obter 150000000000000000.

$$\frac{150000000000000000\times 10^{-12}}{1.92}\times 10^{-12}$$

Calcula 10 á potencia de -12 e obtén \frac{1}{1000000000000}.

$$\frac{150000000000000000\times \frac{1}{1000000000000}}{1.92}\times 10^{-12}$$

Multiplica 150000000000000000 e \frac{1}{1000000000000} para obter 150000.

$$\frac{150000}{1.92}\times 10^{-12}$$

Expande \frac{150000}{1.92} multiplicando o numerador e o denominador por 100.

$$\frac{15000000}{192}\times 10^{-12}$$

Divide 15000000 entre 192 para obter 78125.

$$78125\times 10^{-12}$$

Calcula 10 á potencia de -12 e obtén \frac{1}{1000000000000}.

$$78125\times \frac{1}{1000000000000}$$

Multiplica 78125 e \frac{1}{1000000000000} para obter \frac{1}{12800000}.

$$\frac{1}{12800000}$$

Factorizar

$$\frac{1}{2 ^ {12} \cdot 5 ^ {5}} = 7.812500000000001 \times 10^{-8}$$