Datrys 1/22.718^4+2.718^3/2.718^2-2*2.718+1-2.7718^2

$$\frac{ \frac{ 1 }{ 2 } { 2.718 }^{ 4 } + { 2.718 }^{ 3 } }{ { 2.718 }^{ 2 } -2 \cdot 2.718+1 } - { 2.7718 }^{ 2 }$$

Enrhifo

$$\frac{154317843733889}{18447025000000}\approx 8.365459674$$

Camau Ateb

Cyfrifo 2.718 i bŵer 4 a chael 54.575510850576.

$$\frac{\frac{1}{2}\times 54.575510850576+2.718^{3}}{2.718^{2}-2\times 2.718+1}-2.7718^{2}$$

Troswch y rhif degol 54.575510850576 i’r ffracsiwn \frac{13643877712644}{10000000000}. Lleihau'r ffracsiwn \frac{13643877712644}{10000000000} i'r graddau lleiaf posib drwy dynnu a chanslo allan 4.

$$\frac{\frac{1}{2}\times \frac{3410969428161}{62500000000}+2.718^{3}}{2.718^{2}-2\times 2.718+1}-2.7718^{2}$$

Lluoswch \frac{1}{2} â \frac{3410969428161}{62500000000} drwy luosi'r rhifiadur â’r rhifiadur a'r enwadur â’r enwadur.

$$\frac{\frac{1\times 3410969428161}{2\times 62500000000}+2.718^{3}}{2.718^{2}-2\times 2.718+1}-2.7718^{2}$$

Gwnewch y gwaith lluosi yn y ffracsiwn \frac{1\times 3410969428161}{2\times 62500000000}.

$$\frac{\frac{3410969428161}{125000000000}+2.718^{3}}{2.718^{2}-2\times 2.718+1}-2.7718^{2}$$

Cyfrifo 2.718 i bŵer 3 a chael 20.079290232.

$$\frac{\frac{3410969428161}{125000000000}+20.079290232}{2.718^{2}-2\times 2.718+1}-2.7718^{2}$$

Troswch y rhif degol 20.079290232 i’r ffracsiwn \frac{20079290232}{1000000000}. Lleihau'r ffracsiwn \frac{20079290232}{1000000000} i'r graddau lleiaf posib drwy dynnu a chanslo allan 8.

$$\frac{\frac{3410969428161}{125000000000}+\frac{2509911279}{125000000}}{2.718^{2}-2\times 2.718+1}-2.7718^{2}$$

Lluosrif lleiaf cyffredin 125000000000 a 125000000 yw 125000000000. Troswch \frac{3410969428161}{125000000000} a \frac{2509911279}{125000000} yn ffracsiynau gyda’r enwadur 125000000000.

$$\frac{\frac{3410969428161}{125000000000}+\frac{2509911279000}{125000000000}}{2.718^{2}-2\times 2.718+1}-2.7718^{2}$$

Gan fod gan \frac{3410969428161}{125000000000} a \frac{2509911279000}{125000000000} yr un dynodydd, adiwch nhw drwy adio eu rhifiaduron.

$$\frac{\frac{3410969428161+2509911279000}{125000000000}}{2.718^{2}-2\times 2.718+1}-2.7718^{2}$$

Adio 3410969428161 a 2509911279000 i gael 5920880707161.

$$\frac{\frac{5920880707161}{125000000000}}{2.718^{2}-2\times 2.718+1}-2.7718^{2}$$

Cyfrifo 2.718 i bŵer 2 a chael 7.387524.

$$\frac{\frac{5920880707161}{125000000000}}{7.387524-2\times 2.718+1}-2.7718^{2}$$

Lluosi 2 a 2.718 i gael 5.436.

$$\frac{\frac{5920880707161}{125000000000}}{7.387524-5.436+1}-2.7718^{2}$$

Tynnu 5.436 o 7.387524 i gael 1.951524.

$$\frac{\frac{5920880707161}{125000000000}}{1.951524+1}-2.7718^{2}$$

Adio 1.951524 a 1 i gael 2.951524.

$$\frac{\frac{5920880707161}{125000000000}}{2.951524}-2.7718^{2}$$

Mynegwch \frac{\frac{5920880707161}{125000000000}}{2.951524} fel ffracsiwn unigol.

$$\frac{5920880707161}{125000000000\times 2.951524}-2.7718^{2}$$

Lluosi 125000000000 a 2.951524 i gael 368940500000.

$$\frac{5920880707161}{368940500000}-2.7718^{2}$$

Cyfrifo 2.7718 i bŵer 2 a chael 7.68287524.

$$\frac{5920880707161}{368940500000}-7.68287524$$

Troswch y rhif degol 7.68287524 i’r ffracsiwn \frac{768287524}{100000000}. Lleihau'r ffracsiwn \frac{768287524}{100000000} i'r graddau lleiaf posib drwy dynnu a chanslo allan 4.

$$\frac{5920880707161}{368940500000}-\frac{192071881}{25000000}$$

Lluosrif lleiaf cyffredin 368940500000 a 25000000 yw 18447025000000. Troswch \frac{5920880707161}{368940500000} a \frac{192071881}{25000000} yn ffracsiynau gyda’r enwadur 18447025000000.

$$\frac{296044035358050}{18447025000000}-\frac{141726191624161}{18447025000000}$$

Gan fod gan \frac{296044035358050}{18447025000000} a \frac{141726191624161}{18447025000000} yr un dynodydd, tynnwch nhw drwy dynnu eu rhifiaduron.

$$\frac{296044035358050-141726191624161}{18447025000000}$$

Tynnu 141726191624161 o 296044035358050 i gael 154317843733889.

$$\frac{154317843733889}{18447025000000}$$

Ffactor

$$\frac{11 \cdot 29 \cdot 61 \cdot 7930409771}{2 ^ {6} \cdot 5 ^ {8} \cdot 859 ^ {2}} = 8\frac{6741643733889}{18447025000000} = 8.365459673518576$$