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

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

Avaliar

$$\frac{3313}{628000000000000000000000000000}\approx 5,275477707 \cdot 10^{-27}$$

Passos Para a Resolução

Para multiplicar as potências da mesma base, some os seus expoentes. Some -2 e -5 para obter -7.

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

Anule 2 no numerador e no denominador.

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

Calcule -34 elevado a 1 e obtenha -34.

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

Calcule 10 elevado a -34 e obtenha \frac{1}{10000000000000000000000000000000000}.

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

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

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

Multiplique 2 e 314 para obter 628.

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

Calcule 10 elevado a -7 e obtenha \frac{1}{10000000}.

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

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

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

Divida \frac{3313}{10000000000000000000000000000000000} por \frac{157}{2500000} ao multiplicar \frac{3313}{10000000000000000000000000000000000} pelo recíproco de \frac{157}{2500000}.

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

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

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

Fatorizar

$$\frac{3313}{2 ^ {29} \cdot 5 ^ {27} \cdot 157} = 5,275477707006369 \times 10^{-27}$$