Solve (x^2+1/x+1/x^2)^0

$$( x ^ { 2 } + \frac { 1 } { x } + \frac { 1 } { x ^ { 2 } } ) ^ { 0 }$$

Evaluate

$$1$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply x^{2} times \frac{x}{x}.

$$\left(\frac{x^{2}x}{x}+\frac{1}{x}+\frac{1}{x^{2}}\right)^{0}$$

Since \frac{x^{2}x}{x} and \frac{1}{x} have the same denominator, add them by adding their numerators.

$$\left(\frac{x^{2}x+1}{x}+\frac{1}{x^{2}}\right)^{0}$$

Do the multiplications in x^{2}x+1.

$$\left(\frac{x^{3}+1}{x}+\frac{1}{x^{2}}\right)^{0}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of x and x^{2} is x^{2}. Multiply \frac{x^{3}+1}{x} times \frac{x}{x}.

$$\left(\frac{\left(x^{3}+1\right)x}{x^{2}}+\frac{1}{x^{2}}\right)^{0}$$

Since \frac{\left(x^{3}+1\right)x}{x^{2}} and \frac{1}{x^{2}} have the same denominator, add them by adding their numerators.

$$\left(\frac{\left(x^{3}+1\right)x+1}{x^{2}}\right)^{0}$$

Do the multiplications in \left(x^{3}+1\right)x+1.

$$\left(\frac{x^{4}+x+1}{x^{2}}\right)^{0}$$

Calculate \frac{x^{4}+x+1}{x^{2}} to the power of 0 and get 1.

$$1$$

Factor

$$1$$