Issolvi 1.38*10^-23*27.15/sqrt{2*pi*(3.5*10^-10)^2*101*10^5}=

$$\frac { 1.38 \times 10 ^ { - 23 } \times 27.15 } { \sqrt { 2 } \times \pi \times ( 3.5 \times 10 ^ { - 10 } ) ^ { 2 } \times 101 \times 10 ^ { 5 } } =$$

Evalwa

$$\frac{37467\sqrt{2}}{247450000000000\pi }\approx 6.815953004 \cdot 10^{-11}$$

Passi tas-Soluzzjonijiet

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

$$\frac{1.38\times 27.15}{101\pi \sqrt{2}\times 10^{28}\times \left(3.5\times 10^{-10}\right)^{2}}$$

Immultiplika 1.38 u 27.15 biex tikseb 37.467.

$$\frac{37.467}{101\pi \sqrt{2}\times 10^{28}\times \left(3.5\times 10^{-10}\right)^{2}}$$

Ikkalkula 10 bil-power ta' 28 u tikseb 10000000000000000000000000000.

$$\frac{37.467}{101\pi \sqrt{2}\times 10000000000000000000000000000\times \left(3.5\times 10^{-10}\right)^{2}}$$

Immultiplika 101 u 10000000000000000000000000000 biex tikseb 1010000000000000000000000000000.

$$\frac{37.467}{1010000000000000000000000000000\pi \sqrt{2}\times \left(3.5\times 10^{-10}\right)^{2}}$$

Ikkalkula 10 bil-power ta' -10 u tikseb \frac{1}{10000000000}.

$$\frac{37.467}{1010000000000000000000000000000\pi \sqrt{2}\times \left(3.5\times \frac{1}{10000000000}\right)^{2}}$$

Immultiplika 3.5 u \frac{1}{10000000000} biex tikseb \frac{7}{20000000000}.

$$\frac{37.467}{1010000000000000000000000000000\pi \sqrt{2}\times \left(\frac{7}{20000000000}\right)^{2}}$$

Ikkalkula \frac{7}{20000000000} bil-power ta' 2 u tikseb \frac{49}{400000000000000000000}.

$$\frac{37.467}{1010000000000000000000000000000\pi \sqrt{2}\times \frac{49}{400000000000000000000}}$$

Immultiplika 1010000000000000000000000000000 u \frac{49}{400000000000000000000} biex tikseb 123725000000.

$$\frac{37.467}{123725000000\pi \sqrt{2}}$$

Irrazzjonalizza d-denominatur tal-\frac{37.467}{123725000000\pi \sqrt{2}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{2}.

$$\frac{37.467\sqrt{2}}{123725000000\pi \left(\sqrt{2}\right)^{2}}$$

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

$$\frac{37.467\sqrt{2}}{123725000000\pi \times 2}$$

Immultiplika 123725000000 u 2 biex tikseb 247450000000.

$$\frac{37.467\sqrt{2}}{247450000000\pi }$$