Solve sqrt[4]{256a^2b^4/c^2}=sqrt[4]{256}

$$\sqrt[ 4 ] { \frac { 256 a ^ { 2 } b ^ { 4 } } { c ^ { 2 } } } = \sqrt[ 4 ] { 256 }$$

Solve for a (complex solution)

$$a=-\frac{c}{b^{2}}$$

$$a=\frac{c}{b^{2}}\text{, }b\neq 0\text{ and }c\neq 0$$

Solve for b (complex solution)

$$b=-a^{-\frac{1}{2}}\sqrt{c}$$

$$b=a^{-\frac{1}{2}}\sqrt{c}$$

$$b=ia^{-\frac{1}{2}}\sqrt{c}$$

$$b=-ia^{-\frac{1}{2}}\sqrt{c}\text{, }a\neq 0\text{ and }c\neq 0$$

Solve for a

$$a=\frac{c}{b^{2}}$$

$$a=-\frac{c}{b^{2}}\text{, }b\neq 0\text{ and }c\neq 0$$

Solve for b

$$\left\{\begin{matrix}b=\sqrt{-\frac{c}{a}}\text{; }b=-\sqrt{-\frac{c}{a}}\text{, }&\left(a>0\text{ and }c<0\right)\text{ or }\left(c>0\text{ and }a<0\right)\\b=\sqrt{\frac{c}{a}}\text{; }b=-\sqrt{\frac{c}{a}}\text{, }&\left(c>0\text{ and }a>0\right)\text{ or }\left(c<0\text{ and }a<0\right)\end{matrix}\right.$$