Lahenda 139*10^-3*24^-15*2/sqrt{2*pi*4*10^-15*2}

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

Arvuta

$$\frac{33935546875\sqrt{2}}{986049380773527552\pi }\approx 0,000000015$$

Lahenduse etapid

Taandage 2 nii lugejas kui ka nimetajas.

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

Sama alusega astmete jagamiseks lahutage nimetaja astendaja lugeja astendajast.

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

Arvutage 12 aste 10 ja leidke 1000000000000.

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

Korrutage 139 ja 1000000000000, et leida 139000000000000.

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

Arvutage -15 aste 24 ja leidke \frac{1}{504857282956046106624}.

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

Korrutage 139000000000000 ja \frac{1}{504857282956046106624}, et leida \frac{33935546875}{123256172596690944}.

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

Ratsionaliseerige korrutades lugeja ja \sqrt{2} nimetaja \frac{\frac{33935546875}{123256172596690944}}{4\pi \sqrt{2}} nimetaja.

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

\sqrt{2} ruut on 2.

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

Korrutage 4 ja 2, et leida 8.

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