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

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

Avaliar

$$0,000000078125$$

Passos Para a Resolução

Calcule 10 elevado a 17 e obtenha 100000000000000000.

$$\frac{\frac{5,4\times 100000000000000000}{3,6}\times 10^{-12}}{1,92}\times 10^{-12}$$

Multiplique 5,4 e 100000000000000000 para obter 540000000000000000.

$$\frac{\frac{540000000000000000}{3,6}\times 10^{-12}}{1,92}\times 10^{-12}$$

Expanda \frac{540000000000000000}{3,6} ao multiplicar o numerador e o denominador por 10.

$$\frac{\frac{5400000000000000000}{36}\times 10^{-12}}{1,92}\times 10^{-12}$$

Dividir 5400000000000000000 por 36 para obter 150000000000000000.

$$\frac{150000000000000000\times 10^{-12}}{1,92}\times 10^{-12}$$

Calcule 10 elevado a -12 e obtenha \frac{1}{1000000000000}.

$$\frac{150000000000000000\times \frac{1}{1000000000000}}{1,92}\times 10^{-12}$$

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

$$\frac{150000}{1,92}\times 10^{-12}$$

Expanda \frac{150000}{1,92} ao multiplicar o numerador e o denominador por 100.

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

Dividir 15000000 por 192 para obter 78125.

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

Calcule 10 elevado a -12 e obtenha \frac{1}{1000000000000}.

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

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

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

Fatorizar

$$\frac{1}{2 ^ {12} \cdot 5 ^ {5}} = 7,812500000000001 \times 10^{-8}$$