Solve (-a^4)^5+(-a^2)^10

$$( - a ^ { 4 } ) ^ { 5 } + ( - a ^ { 2 } ) ^ { 10 }$$

Evaluate

$$0$$

Solution Steps

Expand \left(-a^{4}\right)^{5}.

$$\left(-1\right)^{5}\left(a^{4}\right)^{5}+\left(-a^{2}\right)^{10}$$

To raise a power to another power, multiply the exponents. Multiply 4 and 5 to get 20.

$$\left(-1\right)^{5}a^{20}+\left(-a^{2}\right)^{10}$$

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

$$-a^{20}+\left(-a^{2}\right)^{10}$$

Expand \left(-a^{2}\right)^{10}.

$$-a^{20}+\left(-1\right)^{10}\left(a^{2}\right)^{10}$$

To raise a power to another power, multiply the exponents. Multiply 2 and 10 to get 20.

$$-a^{20}+\left(-1\right)^{10}a^{20}$$

Calculate -1 to the power of 10 and get 1.

$$-a^{20}+1a^{20}$$

Combine -a^{20} and 1a^{20} to get 0.

$$0$$

Factor

$$0$$