Solve x+(-9)^4a+(-5a^3)^2=

$$x + ( - 9 ) ^ { 4 } a + ( - 5 a ^ { 3 } ) ^ { 2 } =$$

Evaluate

$$x+25a^{6}+6561a$$

Solution Steps

Calculate -9 to the power of 4 and get 6561.

$$x+6561a+\left(-5a^{3}\right)^{2}$$

Expand \left(-5a^{3}\right)^{2}.

$$x+6561a+\left(-5\right)^{2}\left(a^{3}\right)^{2}$$

To raise a power to another power, multiply the exponents. Multiply 3 and 2 to get 6.

$$x+6561a+\left(-5\right)^{2}a^{6}$$

Calculate -5 to the power of 2 and get 25.

$$x+6561a+25a^{6}$$

Expand

$$x+25a^{6}+6561a$$

Solution Steps

Calculate -9 to the power of 4 and get 6561.

$$x+6561a+\left(-5a^{3}\right)^{2}$$

Expand \left(-5a^{3}\right)^{2}.

$$x+6561a+\left(-5\right)^{2}\left(a^{3}\right)^{2}$$

To raise a power to another power, multiply the exponents. Multiply 3 and 2 to get 6.

$$x+6561a+\left(-5\right)^{2}a^{6}$$

Calculate -5 to the power of 2 and get 25.

$$x+6561a+25a^{6}$$