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

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

Evaluate

$$-\frac{27227524942116}{7382089}\approx -3688322.498159532$$

Solution Steps

Calculate 2718 to the power of 4 and get 54575510850576.

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

Multiply \frac{1}{2} and 54575510850576 to get \frac{54575510850576}{2}.

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

Divide 54575510850576 by 2 to get 27287755425288.

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

Calculate 2718 to the power of 3 and get 20079290232.

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

Add 27287755425288 and 20079290232 to get 27307834715520.

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

Calculate 2718 to the power of 2 and get 7387524.

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

Multiply 2 and 2718 to get 5436.

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

Subtract 5436 from 7387524 to get 7382088.

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

Add 7382088 and 1 to get 7382089.

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

Calculate 2718 to the power of 2 and get 7387524.

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

Convert 7387524 to fraction \frac{54535359657636}{7382089}.

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

Since \frac{27307834715520}{7382089} and \frac{54535359657636}{7382089} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 54535359657636 from 27307834715520 to get -27227524942116.

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

Factor

$$-\frac{27227524942116}{7382089} = -3688322\frac{3677458}{7382089} = -3688322.498159532$$