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

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

Evalwa

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

Passi tas-Soluzzjonijiet

Ikkalkula 2.718 bil-power ta' 4 u tikseb 54.575510850576.

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

Ikkonverti n-numru deċimali 54.575510850576 fi frazzjoni \frac{13643877712644}{10000000000}. Naqqas il-frazzjoni \frac{13643877712644}{10000000000} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 4.

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

Immultiplika \frac{1}{2} b'\frac{3410969428161}{62500000000} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

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

Agħmel il-multiplikazzjonijiet fil-frazzjoni \frac{1\times 3410969428161}{2\times 62500000000}.

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

Ikkalkula 2.718 bil-power ta' 3 u tikseb 20.079290232.

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

Ikkonverti n-numru deċimali 20.079290232 fi frazzjoni \frac{20079290232}{1000000000}. Naqqas il-frazzjoni \frac{20079290232}{1000000000} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 8.

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

L-inqas multipli komuni ta' 125000000000 u 125000000 huwa 125000000000. Ikkonverti \frac{3410969428161}{125000000000} u \frac{2509911279}{125000000} fi frazzjonijiet bid-denominatur 125000000000.

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

Billi \frac{3410969428161}{125000000000} u \frac{2509911279000}{125000000000} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

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

Żid 3410969428161 u 2509911279000 biex tikseb 5920880707161.

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

Ikkalkula 2.718 bil-power ta' 2 u tikseb 7.387524.

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

Immultiplika 2 u 2.718 biex tikseb 5.436.

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

Naqqas 5.436 minn 7.387524 biex tikseb 1.951524.

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

Żid 1.951524 u 1 biex tikseb 2.951524.

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

Esprimi \frac{\frac{5920880707161}{125000000000}}{2.951524} bħala frazzjoni waħda.

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

Immultiplika 125000000000 u 2.951524 biex tikseb 368940500000.

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

Ikkalkula 2.7718 bil-power ta' 2 u tikseb 7.68287524.

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

Ikkonverti n-numru deċimali 7.68287524 fi frazzjoni \frac{768287524}{100000000}. Naqqas il-frazzjoni \frac{768287524}{100000000} għat-termini l-aktar baxxi billi testratta u tikkanċella barra 4.

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

L-inqas multipli komuni ta' 368940500000 u 25000000 huwa 18447025000000. Ikkonverti \frac{5920880707161}{368940500000} u \frac{192071881}{25000000} fi frazzjonijiet bid-denominatur 18447025000000.

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

Billi \frac{296044035358050}{18447025000000} u \frac{141726191624161}{18447025000000} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

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

Naqqas 141726191624161 minn 296044035358050 biex tikseb 154317843733889.

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

Fattur

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