Solve x=42y*y^3

$$x = 42 y * y ^ { 3 }$$

Solve for x

$$x=42y^{4}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 1 and 3 to get 4.

$$x=42y^{4}$$

Solve for y (complex solution)

$$y=\frac{42^{\frac{3}{4}}i\sqrt[4]{x}}{42}$$

$$y=\frac{42^{\frac{3}{4}}\sqrt[4]{x}}{42}$$

$$y=-\frac{42^{\frac{3}{4}}\sqrt[4]{x}}{42}$$

$$y=-\frac{42^{\frac{3}{4}}i\sqrt[4]{x}}{42}$$

Solve for y

$$y=\frac{42^{\frac{3}{4}}\sqrt[4]{x}}{42}$$

$$y=-\frac{42^{\frac{3}{4}}\sqrt[4]{x}}{42}\text{, }x\geq 0$$