Resolver 6.63*10^-34*3*10^8/0.42*10^-6-1.6*10^-19*0.75

$$\frac { 6.63 \cdot 10 ^ { - 34 } \cdot 3 \cdot 10 ^ { 8 } } { 0.42 \cdot 10 ^ { - 6 } } - 1.6 \cdot 10 ^ { - 19 } \cdot 0.75$$

Calcular

$$\frac{99}{280000000000000000000}\approx 3.535714286 \cdot 10^{-19}$$

Pasos da solución

Para multiplicar potencias da mesma base, suma os seus expoñentes. Suma -34 e 8 para obter -26.

$$\frac{6.63\times 10^{-26}\times 3}{0.42\times 10^{-6}}-1.6\times 10^{-19}\times 0.75$$

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

$$\frac{3\times 6.63}{0.42\times 10^{20}}-1.6\times 10^{-19}\times 0.75$$

Multiplica 3 e 6.63 para obter 19.89.

$$\frac{19.89}{0.42\times 10^{20}}-1.6\times 10^{-19}\times 0.75$$

Calcula 10 á potencia de 20 e obtén 100000000000000000000.

$$\frac{19.89}{0.42\times 100000000000000000000}-1.6\times 10^{-19}\times 0.75$$

Multiplica 0.42 e 100000000000000000000 para obter 42000000000000000000.

$$\frac{19.89}{42000000000000000000}-1.6\times 10^{-19}\times 0.75$$

Expande \frac{19.89}{42000000000000000000} multiplicando o numerador e o denominador por 100.

$$\frac{1989}{4200000000000000000000}-1.6\times 10^{-19}\times 0.75$$

Reduce a fracción \frac{1989}{4200000000000000000000} a termos máis baixos extraendo e cancelando 3.

$$\frac{663}{1400000000000000000000}-1.6\times 10^{-19}\times 0.75$$

Calcula 10 á potencia de -19 e obtén \frac{1}{10000000000000000000}.

$$\frac{663}{1400000000000000000000}-1.6\times \frac{1}{10000000000000000000}\times 0.75$$

Multiplica 1.6 e \frac{1}{10000000000000000000} para obter \frac{1}{6250000000000000000}.

$$\frac{663}{1400000000000000000000}-\frac{1}{6250000000000000000}\times 0.75$$

Multiplica \frac{1}{6250000000000000000} e 0.75 para obter \frac{3}{25000000000000000000}.

$$\frac{663}{1400000000000000000000}-\frac{3}{25000000000000000000}$$

Resta \frac{3}{25000000000000000000} de \frac{663}{1400000000000000000000} para obter \frac{99}{280000000000000000000}.

$$\frac{99}{280000000000000000000}$$

Factorizar

$$\frac{11 \cdot 3 ^ {2}}{7 \cdot 2 ^ {21} \cdot 5 ^ {19}} = 3.5357142857142856 \times 10^{-19}$$