Resolver 6626*10^-34^/4*31410^-210^-5

$$\frac{ 6626 \times { 10 }^{ { -34 }^{ } } }{ 4 \cdot 314 { 10 }^{ -2 } { 10 }^{ -5 } }$$

Calcular

$$\frac{3313}{628000000000000000000000000000}\approx 5.275477707 \cdot 10^{-27}$$

Pasos da solución

Para multiplicar potencias da mesma base, suma os seus expoñentes. Suma -2 e -5 para obter -7.

$$\frac{6626\times 10^{\left(-34\right)^{1}}}{4\times 314\times 10^{-7}}$$

Anula 2 no numerador e no denominador.

$$\frac{3313\times 10^{\left(-34\right)^{1}}}{2\times 314\times 10^{-7}}$$

Calcula -34 á potencia de 1 e obtén -34.

$$\frac{3313\times 10^{-34}}{2\times 314\times 10^{-7}}$$

Calcula 10 á potencia de -34 e obtén \frac{1}{10000000000000000000000000000000000}.

$$\frac{3313\times \frac{1}{10000000000000000000000000000000000}}{2\times 314\times 10^{-7}}$$

Multiplica 3313 e \frac{1}{10000000000000000000000000000000000} para obter \frac{3313}{10000000000000000000000000000000000}.

$$\frac{\frac{3313}{10000000000000000000000000000000000}}{2\times 314\times 10^{-7}}$$

Multiplica 2 e 314 para obter 628.

$$\frac{\frac{3313}{10000000000000000000000000000000000}}{628\times 10^{-7}}$$

Calcula 10 á potencia de -7 e obtén \frac{1}{10000000}.

$$\frac{\frac{3313}{10000000000000000000000000000000000}}{628\times \frac{1}{10000000}}$$

Multiplica 628 e \frac{1}{10000000} para obter \frac{157}{2500000}.

$$\frac{\frac{3313}{10000000000000000000000000000000000}}{\frac{157}{2500000}}$$

Divide \frac{3313}{10000000000000000000000000000000000} entre \frac{157}{2500000} mediante a multiplicación de \frac{3313}{10000000000000000000000000000000000} polo recíproco de \frac{157}{2500000}.

$$\frac{3313}{10000000000000000000000000000000000}\times \frac{2500000}{157}$$

Multiplica \frac{3313}{10000000000000000000000000000000000} e \frac{2500000}{157} para obter \frac{3313}{628000000000000000000000000000}.

$$\frac{3313}{628000000000000000000000000000}$$

Factorizar

$$\frac{3313}{2 ^ {29} \cdot 5 ^ {27} \cdot 157} = 5.275477707006369 \times 10^{-27}$$