Rešite 6626*10^-34^/4*31410^-210^-5

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

Ovrednoti

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

Koraki rešitve

Če želite pomnožiti potence z isto osnovo, seštejte njihove eksponente. Seštejte -2 in -5, da dobite -7.

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

Okrajšaj 2 v števcu in imenovalcu.

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

Izračunajte potenco -34 števila 1, da dobite -34.

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

Izračunajte potenco 10 števila -34, da dobite \frac{1}{10000000000000000000000000000000000}.

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

Pomnožite 3313 in \frac{1}{10000000000000000000000000000000000}, da dobite \frac{3313}{10000000000000000000000000000000000}.

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

Pomnožite 2 in 314, da dobite 628.

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

Izračunajte potenco 10 števila -7, da dobite \frac{1}{10000000}.

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

Pomnožite 628 in \frac{1}{10000000}, da dobite \frac{157}{2500000}.

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

Delite \frac{3313}{10000000000000000000000000000000000} s/z \frac{157}{2500000} tako, da pomnožite \frac{3313}{10000000000000000000000000000000000} z obratno vrednostjo \frac{157}{2500000}.

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

Pomnožite \frac{3313}{10000000000000000000000000000000000} in \frac{2500000}{157}, da dobite \frac{3313}{628000000000000000000000000000}.

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

Faktoriziraj

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