Solve (-x^2)^5+(-x^5)^2

$$( - x ^ { 2 } ) ^ { 5 } + ( - x ^ { 5 } ) ^ { 2 }$$

Evaluate

$$0$$

Solution Steps

Calculate -x^{5} to the power of 2 and get \left(x^{5}\right)^{2}.

$$\left(-x^{2}\right)^{5}+\left(x^{5}\right)^{2}$$

To raise a power to another power, multiply the exponents. Multiply 5 and 2 to get 10.

$$\left(-x^{2}\right)^{5}+x^{10}$$

Expand \left(-x^{2}\right)^{5}.

$$\left(-1\right)^{5}\left(x^{2}\right)^{5}+x^{10}$$

To raise a power to another power, multiply the exponents. Multiply 2 and 5 to get 10.

$$\left(-1\right)^{5}x^{10}+x^{10}$$

Calculate -1 to the power of 5 and get -1.

$$-x^{10}+x^{10}$$

Combine -x^{10} and x^{10} to get 0.

$$0$$

Factor

$$0$$