Solve v^-2+v^-2/v^2+v^2

$$\frac { v ^ { - 2 } + v ^ { - 2 } } { v ^ { 2 } + v ^ { 2 } }$$

Evaluate

$$\frac{1}{v^{4}}$$

Solution Steps

Combine v^{-2} and v^{-2} to get 2v^{-2}.

$$\frac{2v^{-2}}{v^{2}+v^{2}}$$

Combine v^{2} and v^{2} to get 2v^{2}.

$$\frac{2v^{-2}}{2v^{2}}$$

Cancel out 2 in both numerator and denominator.

$$\frac{v^{-2}}{v^{2}}$$

To divide powers of the same base, subtract the numerator's exponent from the denominator's exponent.

$$\frac{1}{v^{4}}$$

Expand

$$\frac{1}{v^{4}}$$

Solution Steps

Combine v^{-2} and v^{-2} to get 2v^{-2}.

$$\frac{2v^{-2}}{v^{2}+v^{2}}$$

Combine v^{2} and v^{2} to get 2v^{2}.

$$\frac{2v^{-2}}{2v^{2}}$$

Cancel out 2 in both numerator and denominator.

$$\frac{v^{-2}}{v^{2}}$$

To divide powers of the same base, subtract the numerator's exponent from the denominator's exponent.

$$\frac{1}{v^{4}}$$