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

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

Aromātai

$$\frac{37467\sqrt{2}}{2474500000000\pi }\approx 6.815953004 \cdot 10^{-9}$$

Ngā Upane Otinga

Hei whakawehe i ngā pū o te pūtake kotahi, tangohia te taupū o te taurunga i te taupū o te tauraro.

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

Whakareatia te 138 ki te 2715, ka 374670.

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

Tātaihia te 10 mā te pū o 28, kia riro ko 10000000000000000000000000000.

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

Whakareatia te 101 ki te 10000000000000000000000000000, ka 1010000000000000000000000000000.

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

Tātaihia te 10 mā te pū o -10, kia riro ko \frac{1}{10000000000}.

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

Whakareatia te 35 ki te \frac{1}{10000000000}, ka \frac{7}{2000000000}.

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

Tātaihia te \frac{7}{2000000000} mā te pū o 2, kia riro ko \frac{49}{4000000000000000000}.

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

Whakareatia te 1010000000000000000000000000000 ki te \frac{49}{4000000000000000000}, ka 12372500000000.

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

Whakangāwaritia te tauraro o \frac{374670}{12372500000000\pi \sqrt{2}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{2}.

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

Ko te pūrua o \sqrt{2} ko 2.

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

Me whakakore tahi te 10 i te taurunga me te tauraro.

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

Whakareatia te 2 ki te 1237250000000, ka 2474500000000.

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