Issolvi 1/(-061)(001)(sqrt{2(3864)})(-2/5(4)^5/2)

$$\frac { 1 } { ( - 061 ) ( 001 ) ( \sqrt { 2 ( 3864 } ) } ) ( - \frac { 2 } { 5 } ( 4 ) ^ { 5 / 2 } )$$

Evalwa

$$\frac{16\sqrt{483}}{147315}\approx 0.002386968$$

Passi tas-Soluzzjonijiet

Immultiplika -61 u 1 biex tikseb -61.

$$\frac{1}{-61\sqrt{2\times 3864}}\left(-\frac{2}{5}\right)\times 4^{\frac{5}{2}}$$

Immultiplika 2 u 3864 biex tikseb 7728.

$$\frac{1}{-61\sqrt{7728}}\left(-\frac{2}{5}\right)\times 4^{\frac{5}{2}}$$

Iffattura 7728=4^{2}\times 483. Erġa' ikteb l-għerq kwadrat tal-prodott \sqrt{4^{2}\times 483} bħala l-prodott tal-għeruq kwadrati \sqrt{4^{2}}\sqrt{483}. Ħu l-għerq kwadrat ta' 4^{2}.

$$\frac{1}{-61\times 4\sqrt{483}}\left(-\frac{2}{5}\right)\times 4^{\frac{5}{2}}$$

Immultiplika -61 u 4 biex tikseb -244.

$$\frac{1}{-244\sqrt{483}}\left(-\frac{2}{5}\right)\times 4^{\frac{5}{2}}$$

Irrazzjonalizza d-denominatur tal-\frac{1}{-244\sqrt{483}} billi timmultiplika in-numeratur u d-denominatur mill-\sqrt{483}.

$$\frac{\sqrt{483}}{-244\left(\sqrt{483}\right)^{2}}\left(-\frac{2}{5}\right)\times 4^{\frac{5}{2}}$$

Il-kwadrat ta' \sqrt{483} huwa 483.

$$\frac{\sqrt{483}}{-244\times 483}\left(-\frac{2}{5}\right)\times 4^{\frac{5}{2}}$$

Immultiplika -244 u 483 biex tikseb -117852.

$$\frac{\sqrt{483}}{-117852}\left(-\frac{2}{5}\right)\times 4^{\frac{5}{2}}$$

Ikkalkula 4 bil-power ta' \frac{5}{2} u tikseb 32.

$$\frac{\sqrt{483}}{-117852}\left(-\frac{2}{5}\right)\times 32$$

Immultiplika -\frac{2}{5} u 32 biex tikseb -\frac{64}{5}.

$$\frac{\sqrt{483}}{-117852}\left(-\frac{64}{5}\right)$$

Immultiplika \frac{\sqrt{483}}{-117852} b'-\frac{64}{5} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{-\sqrt{483}\times 64}{-117852\times 5}$$

Annulla 4 fin-numeratur u d-denominatur.

$$\frac{-16\sqrt{483}}{-29463\times 5}$$

Immultiplika -29463 u 5 biex tikseb -147315.

$$\frac{-16\sqrt{483}}{-147315}$$