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

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

Evalwa

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

Passi tas-Soluzzjonijiet

Annulla 2 fin-numeratur u d-denominatur.

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

Biex tiddividi l-qawwa tal-istess bażi, naqqas l-esponent tad-denominatur mill-esponent tan-numeratur.

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

Ikkalkula 10 bil-power ta' 12 u tikseb 1000000000000.

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

Immultiplika 139 u 1000000000000 biex tikseb 139000000000000.

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

Ikkalkula 24 bil-power ta' -15 u tikseb \frac{1}{504857282956046106624}.

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

Immultiplika 139000000000000 u \frac{1}{504857282956046106624} biex tikseb \frac{33935546875}{123256172596690944}.

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

Irrazzjonalizza d-denominatur tal-\frac{\frac{33935546875}{123256172596690944}}{4\pi \sqrt{2}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{2}.

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

Il-kwadrat ta' \sqrt{2} huwa 2.

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

Immultiplika 4 u 2 biex tikseb 8.

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