Solve xyxx=4

$$xyxx=4$$

Solve for y

$$y=\frac{4}{x^{3}}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Multiply x and x to get x^{2}.

$$x^{2}yx=4$$

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$x^{3}y=4$$

Divide both sides by x^{3}.

$$\frac{x^{3}y}{x^{3}}=\frac{4}{x^{3}}$$

Dividing by x^{3} undoes the multiplication by x^{3}.

$$y=\frac{4}{x^{3}}$$

Solve for x (complex solution)

$$x=\sqrt[3]{4}e^{\frac{2\pi i}{3}}y^{-\frac{1}{3}}$$

$$x=\sqrt[3]{4}y^{-\frac{1}{3}}$$

$$x=\sqrt[3]{4}e^{\frac{4\pi i}{3}}y^{-\frac{1}{3}}\text{, }y\neq 0$$

Solve for x

$$x=\sqrt[3]{\frac{4}{y}}$$

$$y\neq 0$$