Solve y=x^4/x

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

Solve for y

$$y=x^{3}$$

$$x\neq 0$$

Solution Steps

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 1 from 4 to get 3.

$$y=x^{3}$$

Solve for x (complex solution)

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

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

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

Solve for x

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

$$y\neq 0$$