Datrys [(0^{5}+0^{4}+1^{3}+1^{2})^{5}:(7^{0}+9^9)^3]:(8^9)^2=

$$[ ( 0 ^ { 5 } + 0 ^ { 4 } + 1 ^ { 3 } + 1 ^ { 2 } ) ^ { 5 } : ( 7 ^ { 0 } + 9 ^ { 9 } ) ^ { 3 } ] : ( 8 ^ { 9 } ) ^ { 2 } =$$

Enrhifo

$$\frac{1}{32735391990810248958045594675197247488000}\approx 3.054797695 \cdot 10^{-41}$$

Camau Ateb

I godi pŵer rhif i bŵer arall, lluoswch yr esbonyddion. Lluoswch 9 a 2 i gael 18.

$$\frac{\frac{\left(0^{5}+0^{4}+1^{3}+1^{2}\right)^{5}}{\left(7^{0}+9^{9}\right)^{3}}}{8^{18}}$$

Cyfrifo 0 i bŵer 5 a chael 0.

$$\frac{\frac{\left(0+0^{4}+1^{3}+1^{2}\right)^{5}}{\left(7^{0}+9^{9}\right)^{3}}}{8^{18}}$$

Cyfrifo 0 i bŵer 4 a chael 0.

$$\frac{\frac{\left(0+0+1^{3}+1^{2}\right)^{5}}{\left(7^{0}+9^{9}\right)^{3}}}{8^{18}}$$

Adio 0 a 0 i gael 0.

$$\frac{\frac{\left(1^{3}+1^{2}\right)^{5}}{\left(7^{0}+9^{9}\right)^{3}}}{8^{18}}$$

Cyfrifo 1 i bŵer 3 a chael 1.

$$\frac{\frac{\left(1+1^{2}\right)^{5}}{\left(7^{0}+9^{9}\right)^{3}}}{8^{18}}$$

Cyfrifo 1 i bŵer 2 a chael 1.

$$\frac{\frac{\left(1+1\right)^{5}}{\left(7^{0}+9^{9}\right)^{3}}}{8^{18}}$$

Adio 1 a 1 i gael 2.

$$\frac{\frac{2^{5}}{\left(7^{0}+9^{9}\right)^{3}}}{8^{18}}$$

Cyfrifo 2 i bŵer 5 a chael 32.

$$\frac{\frac{32}{\left(7^{0}+9^{9}\right)^{3}}}{8^{18}}$$

Cyfrifo 7 i bŵer 0 a chael 1.

$$\frac{\frac{32}{\left(1+9^{9}\right)^{3}}}{8^{18}}$$

Cyfrifo 9 i bŵer 9 a chael 387420489.

$$\frac{\frac{32}{\left(1+387420489\right)^{3}}}{8^{18}}$$

Adio 1 a 387420489 i gael 387420490.

$$\frac{\frac{32}{387420490^{3}}}{8^{18}}$$

Cyfrifo 387420490 i bŵer 3 a chael 58149737453323966743649000.

$$\frac{\frac{32}{58149737453323966743649000}}{8^{18}}$$

Lleihau'r ffracsiwn \frac{32}{58149737453323966743649000} i'r graddau lleiaf posib drwy dynnu a chanslo allan 8.

$$\frac{\frac{4}{7268717181665495842956125}}{8^{18}}$$

Cyfrifo 8 i bŵer 18 a chael 18014398509481984.

$$\frac{\frac{4}{7268717181665495842956125}}{18014398509481984}$$

Mynegwch \frac{\frac{4}{7268717181665495842956125}}{18014398509481984} fel ffracsiwn unigol.

$$\frac{4}{7268717181665495842956125\times 18014398509481984}$$

Lluosi 7268717181665495842956125 a 18014398509481984 i gael 130941567963240995832182378700788989952000.

$$\frac{4}{130941567963240995832182378700788989952000}$$

Lleihau'r ffracsiwn \frac{4}{130941567963240995832182378700788989952000} i'r graddau lleiaf posib drwy dynnu a chanslo allan 4.

$$\frac{1}{32735391990810248958045594675197247488000}$$

Ffactor

$$\frac{1}{2 ^ {52} \cdot 5 ^ {3} \cdot 73 ^ {3} \cdot 530713 ^ {3}} = 3.054797695047392 \times 10^{-41}$$