Solve (-x^2)^4/-(x^2)^4

$$\frac { ( - x ^ { 2 } ) ^ { 4 } } { - ( x ^ { 2 } ) ^ { 4 } }$$

Evaluate

$$-1$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply 2 and 4 to get 8.

$$\frac{\left(-x^{2}\right)^{4}}{-x^{8}}$$

Expand \left(-x^{2}\right)^{4}.

$$\frac{\left(-1\right)^{4}\left(x^{2}\right)^{4}}{-x^{8}}$$

To raise a power to another power, multiply the exponents. Multiply 2 and 4 to get 8.

$$\frac{\left(-1\right)^{4}x^{8}}{-x^{8}}$$

Calculate -1 to the power of 4 and get 1.

$$\frac{1x^{8}}{-x^{8}}$$

Cancel out x^{8} in both numerator and denominator.

$$\frac{1}{-1}$$

Divide 1 by -1 to get -1.

$$-1$$

Factor

$$-1$$