Solve x=2^4xa^6(-0.125)^4

$$x = 2 ^ { 4 } x a ^ { 6 } ( - 0.125 ) ^ { 4 }$$

Solve for x

$$\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x\in \mathrm{R}\text{, }&|a|=2^{\frac{4}{3}}\end{matrix}\right.$$

Steps for Solving Linear Equation

Calculate 2 to the power of 4 and get 16.

$$x=16xa^{6}\left(-0.125\right)^{4}$$

Calculate -0.125 to the power of 4 and get 0.000244140625.

$$x=16xa^{6}\times 0.000244140625$$

Multiply 16 and 0.000244140625 to get 0.00390625.

$$x=0.00390625xa^{6}$$

Subtract 0.00390625xa^{6} from both sides.

$$x-0.00390625xa^{6}=0$$

Combine all terms containing x.

$$\left(1-0.00390625a^{6}\right)x=0$$

The equation is in standard form.

$$\left(-\frac{a^{6}}{256}+1\right)x=0$$

Divide 0 by 1-0.00390625a^{6}.

$$x=0$$

Solve for a

$$\left\{\begin{matrix}\\a=2^{\frac{4}{3}}\approx 2.5198421\text{; }a=-2^{\frac{4}{3}}\approx -2.5198421\text{, }&\text{unconditionally}\\a\in \mathrm{R}\text{, }&x=0\end{matrix}\right.$$