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

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

Evaluate

$$0$$

Solution Steps

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

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

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

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

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

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

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

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

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

$$a^{10}-a^{10}$$

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

$$0$$

Factor

$$0$$