Resolver 1/22718^4+2718^3/2718^2-2*2718+1-2718^2

$$\frac{ \frac{ 1 }{ 2 } { 2718 }^{ 4 } + { 2718 }^{ 3 } }{ { 2718 }^{ 2 } -2 \cdot 2718+1 } - { 2718 }^{ 2 }$$

Avaliar

$$-\frac{27227524942116}{7382089}\approx -3688322,498159532$$

Passos Para a Resolução

Calcule 2718 elevado a 4 e obtenha 54575510850576.

$$\frac{\frac{1}{2}\times 54575510850576+2718^{3}}{2718^{2}-2\times 2718+1}-2718^{2}$$

Multiplique \frac{1}{2} e 54575510850576 para obter \frac{54575510850576}{2}.

$$\frac{\frac{54575510850576}{2}+2718^{3}}{2718^{2}-2\times 2718+1}-2718^{2}$$

Dividir 54575510850576 por 2 para obter 27287755425288.

$$\frac{27287755425288+2718^{3}}{2718^{2}-2\times 2718+1}-2718^{2}$$

Calcule 2718 elevado a 3 e obtenha 20079290232.

$$\frac{27287755425288+20079290232}{2718^{2}-2\times 2718+1}-2718^{2}$$

Some 27287755425288 e 20079290232 para obter 27307834715520.

$$\frac{27307834715520}{2718^{2}-2\times 2718+1}-2718^{2}$$

Calcule 2718 elevado a 2 e obtenha 7387524.

$$\frac{27307834715520}{7387524-2\times 2718+1}-2718^{2}$$

Multiplique 2 e 2718 para obter 5436.

$$\frac{27307834715520}{7387524-5436+1}-2718^{2}$$

Subtraia 5436 de 7387524 para obter 7382088.

$$\frac{27307834715520}{7382088+1}-2718^{2}$$

Some 7382088 e 1 para obter 7382089.

$$\frac{27307834715520}{7382089}-2718^{2}$$

Calcule 2718 elevado a 2 e obtenha 7387524.

$$\frac{27307834715520}{7382089}-7387524$$

Converta 7387524 na fração \frac{54535359657636}{7382089}.

$$\frac{27307834715520}{7382089}-\frac{54535359657636}{7382089}$$

Uma vez que \frac{27307834715520}{7382089} e \frac{54535359657636}{7382089} têm o mesmo denominador, subtraia-os ao subtrair os respetivos numeradores.

$$\frac{27307834715520-54535359657636}{7382089}$$

Subtraia 54535359657636 de 27307834715520 para obter -27227524942116.

$$-\frac{27227524942116}{7382089}$$

Fatorizar

$$-\frac{27227524942116}{7382089} = -3688322\frac{3677458}{7382089} = -3688322,498159532$$