Resolver 1/22718^4+2718^3/2718^2-2*2718+1-27718^2

$$\frac{ \frac{ 1 }{ 2 } { 2718 }^{ 4 } + { 2718 }^{ 3 } }{ { 2718 }^{ 2 } -2 \cdot 2718+1 } - { 27718 }^{ 2 }$$

Calcular

$$-\frac{5644259045042116}{7382089}\approx -764588322.498159532$$

Pasos da solución

Calcula 2718 á potencia de 4 e obtén 54575510850576.

$$\frac{\frac{1}{2}\times 54575510850576+2718^{3}}{2718^{2}-2\times 2718+1}-27718^{2}$$

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

$$\frac{\frac{54575510850576}{2}+2718^{3}}{2718^{2}-2\times 2718+1}-27718^{2}$$

Divide 54575510850576 entre 2 para obter 27287755425288.

$$\frac{27287755425288+2718^{3}}{2718^{2}-2\times 2718+1}-27718^{2}$$

Calcula 2718 á potencia de 3 e obtén 20079290232.

$$\frac{27287755425288+20079290232}{2718^{2}-2\times 2718+1}-27718^{2}$$

Suma 27287755425288 e 20079290232 para obter 27307834715520.

$$\frac{27307834715520}{2718^{2}-2\times 2718+1}-27718^{2}$$

Calcula 2718 á potencia de 2 e obtén 7387524.

$$\frac{27307834715520}{7387524-2\times 2718+1}-27718^{2}$$

Multiplica 2 e 2718 para obter 5436.

$$\frac{27307834715520}{7387524-5436+1}-27718^{2}$$

Resta 5436 de 7387524 para obter 7382088.

$$\frac{27307834715520}{7382088+1}-27718^{2}$$

Suma 7382088 e 1 para obter 7382089.

$$\frac{27307834715520}{7382089}-27718^{2}$$

Calcula 27718 á potencia de 2 e obtén 768287524.

$$\frac{27307834715520}{7382089}-768287524$$

Converter 768287524 á fracción \frac{5671566879757636}{7382089}.

$$\frac{27307834715520}{7382089}-\frac{5671566879757636}{7382089}$$

Dado que \frac{27307834715520}{7382089} e \frac{5671566879757636}{7382089} teñen o mesmo denominador, réstaos mediante a resta dos seus numeradores.

$$\frac{27307834715520-5671566879757636}{7382089}$$

Resta 5671566879757636 de 27307834715520 para obter -5644259045042116.

$$-\frac{5644259045042116}{7382089}$$

Factorizar

$$-\frac{5644259045042116}{7382089} = -764588322\frac{3677458}{7382089} = -764588322.4981595$$