Resolver (54*10^17:36*10^-12):192*10^-12

$$( 54 \cdot 10 ^ { 17 } : 36 \cdot 10 ^ { - 12 } ) : 192 \cdot 10 ^ { - 12 }$$

Avaliar

$$\frac{1}{1280000000}=7,8125 \cdot 10^{-10}$$

Passos Para a Resolução

Calcule 10 elevado a 17 e obtenha 100000000000000000.

$$\frac{\frac{54\times 100000000000000000}{36}\times 10^{-12}}{192}\times 10^{-12}$$

Multiplique 54 e 100000000000000000 para obter 5400000000000000000.

$$\frac{\frac{5400000000000000000}{36}\times 10^{-12}}{192}\times 10^{-12}$$

Dividir 5400000000000000000 por 36 para obter 150000000000000000.

$$\frac{150000000000000000\times 10^{-12}}{192}\times 10^{-12}$$

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

$$\frac{150000000000000000\times \frac{1}{1000000000000}}{192}\times 10^{-12}$$

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

$$\frac{150000}{192}\times 10^{-12}$$

Reduza a fração \frac{150000}{192} para os termos mais baixos ao retirar e anular 48.

$$\frac{3125}{4}\times 10^{-12}$$

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

$$\frac{3125}{4}\times \frac{1}{1000000000000}$$

Multiplique \frac{3125}{4} e \frac{1}{1000000000000} para obter \frac{1}{1280000000}.

$$\frac{1}{1280000000}$$

Fatorizar

$$\frac{1}{2 ^ {14} \cdot 5 ^ {7}} = 7,812499999999999 \times 10^{-10}$$