Datrys frac{(-27)^{3}(32)^{-5}(-8)^{5}(25^{2})^-6}{(-72)^4(-50^3)^4}

$$\frac { ( - 27 ) ^ { 3 } ( 32 ) ^ { - 5 } ( - 8 ) ^ { 5 } ( 25 ^ { 2 } ) ^ { - 6 } } { ( - 72 ) ^ { 4 } ( - 50 ^ { 3 } ) ^ { 4 } }$$

Enrhifo

$$\frac{3}{61035156250000000000000000000000000000000000}=4.9152 \cdot 10^{-44}$$

Camau Ateb

I godi pŵer rhif i bŵer arall, lluoswch yr esbonyddion. Lluoswch 2 a -6 i gael -12.

$$\frac{\left(-27\right)^{3}\times 32^{-5}\left(-8\right)^{5}\times 25^{-12}}{\left(-72\right)^{4}\left(-50^{3}\right)^{4}}$$

Cyfrifo -27 i bŵer 3 a chael -19683.

$$\frac{-19683\times 32^{-5}\left(-8\right)^{5}\times 25^{-12}}{\left(-72\right)^{4}\left(-50^{3}\right)^{4}}$$

Cyfrifo 32 i bŵer -5 a chael \frac{1}{33554432}.

$$\frac{-19683\times \frac{1}{33554432}\left(-8\right)^{5}\times 25^{-12}}{\left(-72\right)^{4}\left(-50^{3}\right)^{4}}$$

Lluosi -19683 a \frac{1}{33554432} i gael -\frac{19683}{33554432}.

$$\frac{-\frac{19683}{33554432}\left(-8\right)^{5}\times 25^{-12}}{\left(-72\right)^{4}\left(-50^{3}\right)^{4}}$$

Cyfrifo -8 i bŵer 5 a chael -32768.

$$\frac{-\frac{19683}{33554432}\left(-32768\right)\times 25^{-12}}{\left(-72\right)^{4}\left(-50^{3}\right)^{4}}$$

Lluosi -\frac{19683}{33554432} a -32768 i gael \frac{19683}{1024}.

$$\frac{\frac{19683}{1024}\times 25^{-12}}{\left(-72\right)^{4}\left(-50^{3}\right)^{4}}$$

Cyfrifo 25 i bŵer -12 a chael \frac{1}{59604644775390625}.

$$\frac{\frac{19683}{1024}\times \frac{1}{59604644775390625}}{\left(-72\right)^{4}\left(-50^{3}\right)^{4}}$$

Lluosi \frac{19683}{1024} a \frac{1}{59604644775390625} i gael \frac{19683}{61035156250000000000}.

$$\frac{\frac{19683}{61035156250000000000}}{\left(-72\right)^{4}\left(-50^{3}\right)^{4}}$$

Cyfrifo -72 i bŵer 4 a chael 26873856.

$$\frac{\frac{19683}{61035156250000000000}}{26873856\left(-50^{3}\right)^{4}}$$

Cyfrifo 50 i bŵer 3 a chael 125000.

$$\frac{\frac{19683}{61035156250000000000}}{26873856\left(-125000\right)^{4}}$$

Cyfrifo -125000 i bŵer 4 a chael 244140625000000000000.

$$\frac{\frac{19683}{61035156250000000000}}{26873856\times 244140625000000000000}$$

Lluosi 26873856 a 244140625000000000000 i gael 6561000000000000000000000000.

$$\frac{\frac{19683}{61035156250000000000}}{6561000000000000000000000000}$$

Mynegwch \frac{\frac{19683}{61035156250000000000}}{6561000000000000000000000000} fel ffracsiwn unigol.

$$\frac{19683}{61035156250000000000\times 6561000000000000000000000000}$$

Lluosi 61035156250000000000 a 6561000000000000000000000000 i gael 400451660156250000000000000000000000000000000000.

$$\frac{19683}{400451660156250000000000000000000000000000000000}$$

Lleihau'r ffracsiwn \frac{19683}{400451660156250000000000000000000000000000000000} i'r graddau lleiaf posib drwy dynnu a chanslo allan 6561.

$$\frac{3}{61035156250000000000000000000000000000000000}$$

Ffactor

$$\frac{3}{2 ^ {34} \cdot 5 ^ {48}} = 4.9152000000000005 \times 10^{-44}$$