Whakaoti i te 139*10^-3*24^-15*2/sqrt{2*pi*4*10^-15*2}

$$\frac { 139 \times 10 ^ { - 3 } \times 24 ^ { - 15 } \times 2 } { \sqrt { 2 } \times \pi \times 4 \times 10 ^ { - 15 } \times 2 }$$

Aromātai

$$\frac{33935546875\sqrt{2}}{986049380773527552\pi }\approx 0.000000015$$

Ngā Upane Otinga

Me whakakore tahi te 2 i te taurunga me te tauraro.

$$\frac{139\times 10^{-3}\times 24^{-15}}{4\pi \sqrt{2}\times 10^{-15}}$$

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

$$\frac{139\times 10^{12}\times 24^{-15}}{4\pi \sqrt{2}}$$

Tātaihia te 10 mā te pū o 12, kia riro ko 1000000000000.

$$\frac{139\times 1000000000000\times 24^{-15}}{4\pi \sqrt{2}}$$

Whakareatia te 139 ki te 1000000000000, ka 139000000000000.

$$\frac{139000000000000\times 24^{-15}}{4\pi \sqrt{2}}$$

Tātaihia te 24 mā te pū o -15, kia riro ko \frac{1}{504857282956046106624}.

$$\frac{139000000000000\times \frac{1}{504857282956046106624}}{4\pi \sqrt{2}}$$

Whakareatia te 139000000000000 ki te \frac{1}{504857282956046106624}, ka \frac{33935546875}{123256172596690944}.

$$\frac{\frac{33935546875}{123256172596690944}}{4\pi \sqrt{2}}$$

Whakangāwaritia te tauraro o \frac{\frac{33935546875}{123256172596690944}}{4\pi \sqrt{2}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{2}.

$$\frac{\frac{33935546875}{123256172596690944}\sqrt{2}}{4\pi \left(\sqrt{2}\right)^{2}}$$

Ko te pūrua o \sqrt{2} ko 2.

$$\frac{\frac{33935546875}{123256172596690944}\sqrt{2}}{4\pi \times 2}$$

Whakareatia te 4 ki te 2, ka 8.

$$\frac{\frac{33935546875}{123256172596690944}\sqrt{2}}{8\pi }$$