Lahenda 138*10^-23*2715/sqrt{2*pi*(35*10^-10)^2*101*10^5}=

$$\frac { 138 \times 10 ^ { - 23 } \times 2715 } { \sqrt { 2 } \times \pi \times ( 35 \times 10 ^ { - 10 } ) ^ { 2 } \times 101 \times 10 ^ { 5 } } =$$

Arvuta

$$\frac{37467\sqrt{2}}{2474500000000\pi }\approx 6,815953004 \cdot 10^{-9}$$

Lahenduse etapid

Sama alusega astmete jagamiseks lahutage lugeja astendaja nimetaja astendajast.

$$\frac{138\times 2715}{101\pi \sqrt{2}\times 10^{28}\times \left(35\times 10^{-10}\right)^{2}}$$

Korrutage 138 ja 2715, et leida 374670.

$$\frac{374670}{101\pi \sqrt{2}\times 10^{28}\times \left(35\times 10^{-10}\right)^{2}}$$

Arvutage 28 aste 10 ja leidke 10000000000000000000000000000.

$$\frac{374670}{101\pi \sqrt{2}\times 10000000000000000000000000000\times \left(35\times 10^{-10}\right)^{2}}$$

Korrutage 101 ja 10000000000000000000000000000, et leida 1010000000000000000000000000000.

$$\frac{374670}{1010000000000000000000000000000\pi \sqrt{2}\times \left(35\times 10^{-10}\right)^{2}}$$

Arvutage -10 aste 10 ja leidke \frac{1}{10000000000}.

$$\frac{374670}{1010000000000000000000000000000\pi \sqrt{2}\times \left(35\times \frac{1}{10000000000}\right)^{2}}$$

Korrutage 35 ja \frac{1}{10000000000}, et leida \frac{7}{2000000000}.

$$\frac{374670}{1010000000000000000000000000000\pi \sqrt{2}\times \left(\frac{7}{2000000000}\right)^{2}}$$

Arvutage 2 aste \frac{7}{2000000000} ja leidke \frac{49}{4000000000000000000}.

$$\frac{374670}{1010000000000000000000000000000\pi \sqrt{2}\times \frac{49}{4000000000000000000}}$$

Korrutage 1010000000000000000000000000000 ja \frac{49}{4000000000000000000}, et leida 12372500000000.

$$\frac{374670}{12372500000000\pi \sqrt{2}}$$

Ratsionaliseerige korrutades lugeja ja \sqrt{2} nimetaja \frac{374670}{12372500000000\pi \sqrt{2}} nimetaja.

$$\frac{374670\sqrt{2}}{12372500000000\pi \left(\sqrt{2}\right)^{2}}$$

\sqrt{2} ruut on 2.

$$\frac{374670\sqrt{2}}{12372500000000\pi \times 2}$$

Taandage 10 nii lugejas kui ka nimetajas.

$$\frac{37467\sqrt{2}}{2\times 1237250000000\pi }$$

Korrutage 2 ja 1237250000000, et leida 2474500000000.

$$\frac{37467\sqrt{2}}{2474500000000\pi }$$