Réitigh 1.38*10^-23*27.15/sqrt{2*pi*(3.5*10^-10)^2*101*10^5}=

$$\frac { 1.38 \times 10 ^ { - 23 } \times 27.15 } { \sqrt { 2 } \times \pi \times ( 3.5 \times 10 ^ { - 10 } ) ^ { 2 } \times 101 \times 10 ^ { 5 } } =$$

Luacháil

$$\frac{37467\sqrt{2}}{247450000000000\pi }\approx 6.815953004 \cdot 10^{-11}$$

Céimeanna Réitigh

Chun cumhachtaí den bhonn chéanna a roinnt, dealaigh easpónant an ainmneora ó easpónant an uimhreora.

$$\frac{1.38\times 27.15}{101\pi \sqrt{2}\times 10^{28}\times \left(3.5\times 10^{-10}\right)^{2}}$$

Méadaigh 1.38 agus 27.15 chun 37.467 a fháil.

$$\frac{37.467}{101\pi \sqrt{2}\times 10^{28}\times \left(3.5\times 10^{-10}\right)^{2}}$$

Ríomh cumhacht 10 de 28 agus faigh 10000000000000000000000000000.

$$\frac{37.467}{101\pi \sqrt{2}\times 10000000000000000000000000000\times \left(3.5\times 10^{-10}\right)^{2}}$$

Méadaigh 101 agus 10000000000000000000000000000 chun 1010000000000000000000000000000 a fháil.

$$\frac{37.467}{1010000000000000000000000000000\pi \sqrt{2}\times \left(3.5\times 10^{-10}\right)^{2}}$$

Ríomh cumhacht 10 de -10 agus faigh \frac{1}{10000000000}.

$$\frac{37.467}{1010000000000000000000000000000\pi \sqrt{2}\times \left(3.5\times \frac{1}{10000000000}\right)^{2}}$$

Méadaigh 3.5 agus \frac{1}{10000000000} chun \frac{7}{20000000000} a fháil.

$$\frac{37.467}{1010000000000000000000000000000\pi \sqrt{2}\times \left(\frac{7}{20000000000}\right)^{2}}$$

Ríomh cumhacht \frac{7}{20000000000} de 2 agus faigh \frac{49}{400000000000000000000}.

$$\frac{37.467}{1010000000000000000000000000000\pi \sqrt{2}\times \frac{49}{400000000000000000000}}$$

Méadaigh 1010000000000000000000000000000 agus \frac{49}{400000000000000000000} chun 123725000000 a fháil.

$$\frac{37.467}{123725000000\pi \sqrt{2}}$$

Iolraigh an t-uimhreoir agus an t-ainmneoir faoi \sqrt{2} chun ainmneoir \frac{37.467}{123725000000\pi \sqrt{2}} a thiontú in uimhir chóimheasta.

$$\frac{37.467\sqrt{2}}{123725000000\pi \left(\sqrt{2}\right)^{2}}$$

Is é 2 uimhir chearnach \sqrt{2}.

$$\frac{37.467\sqrt{2}}{123725000000\pi \times 2}$$

Méadaigh 123725000000 agus 2 chun 247450000000 a fháil.

$$\frac{37.467\sqrt{2}}{247450000000\pi }$$