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

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

Enrhifo

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

Camau Ateb

Cyfrifo -27 i bŵer 3 a chael -19683.

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

Cyfrifo 32 i bŵer -2 a chael \frac{1}{1024}.

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

Lluosi -19683 a \frac{1}{1024} i gael -\frac{19683}{1024}.

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

Cyfrifo -8 i bŵer 4 a chael 4096.

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

Lluosi -\frac{19683}{1024} a 4096 i gael -78732.

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

Cyfrifo 25 i bŵer 2 a chael 625.

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

Lluosi -78732 a 625 i gael -49207500.

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

Cyfrifo -72 i bŵer 4 a chael 26873856.

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

Cyfrifo 50 i bŵer 3 a chael 125000.

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

Cyfrifo -125000 i bŵer 4 a chael 244140625000000000000.

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

Lluosi 26873856 a 244140625000000000000 i gael 6561000000000000000000000000.

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

Lleihau'r ffracsiwn \frac{-49207500}{6561000000000000000000000000} i'r graddau lleiaf posib drwy dynnu a chanslo allan 16402500.

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

Ffactor

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