Issolvi frac{(-27)^{3}(32)^{-2}(-8)^{4}(25^2)}{(-72)^4(-50^3)^4}

$$\frac { ( - 27 ) ^ { 3 } ( 32 ) ^ { - 2 } ( - 8 ) ^ { 4 } ( 25 ^ { 2 } ) } { ( - 72 ) ^ { 4 } ( - 50 ^ { 3 } ) ^ { 4 } }$$

Evalwa

$$-\frac{3}{400000000000000000000}=-7.5 \cdot 10^{-21}$$

Passi tas-Soluzzjonijiet

Ikkalkula -27 bil-power ta' 3 u tikseb -19683.

$$\frac{-19683\times 32^{-2}\left(-8\right)^{4}\times 25^{2}}{\left(-72\right)^{4}\left(-50^{3}\right)^{4}}$$

Ikkalkula 32 bil-power ta' -2 u tikseb \frac{1}{1024}.

$$\frac{-19683\times \frac{1}{1024}\left(-8\right)^{4}\times 25^{2}}{\left(-72\right)^{4}\left(-50^{3}\right)^{4}}$$

Immultiplika -19683 u \frac{1}{1024} biex tikseb -\frac{19683}{1024}.

$$\frac{-\frac{19683}{1024}\left(-8\right)^{4}\times 25^{2}}{\left(-72\right)^{4}\left(-50^{3}\right)^{4}}$$

Ikkalkula -8 bil-power ta' 4 u tikseb 4096.

$$\frac{-\frac{19683}{1024}\times 4096\times 25^{2}}{\left(-72\right)^{4}\left(-50^{3}\right)^{4}}$$

Immultiplika -\frac{19683}{1024} u 4096 biex tikseb -78732.

$$\frac{-78732\times 25^{2}}{\left(-72\right)^{4}\left(-50^{3}\right)^{4}}$$

Ikkalkula 25 bil-power ta' 2 u tikseb 625.

$$\frac{-78732\times 625}{\left(-72\right)^{4}\left(-50^{3}\right)^{4}}$$

Immultiplika -78732 u 625 biex tikseb -49207500.

$$\frac{-49207500}{\left(-72\right)^{4}\left(-50^{3}\right)^{4}}$$

Ikkalkula -72 bil-power ta' 4 u tikseb 26873856.

$$\frac{-49207500}{26873856\left(-50^{3}\right)^{4}}$$

Ikkalkula 50 bil-power ta' 3 u tikseb 125000.

$$\frac{-49207500}{26873856\left(-125000\right)^{4}}$$

Ikkalkula -125000 bil-power ta' 4 u tikseb 244140625000000000000.

$$\frac{-49207500}{26873856\times 244140625000000000000}$$

Immultiplika 26873856 u 244140625000000000000 biex tikseb 6561000000000000000000000000.

$$\frac{-49207500}{6561000000000000000000000000}$$

Naqqas il-frazzjoni \frac{-49207500}{6561000000000000000000000000} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 16402500.

$$-\frac{3}{400000000000000000000}$$

Fattur

$$-\frac{3}{400000000000000000000} = -7.500000000000002 \times 10^{-21}$$