Solve 4^3/y^4=w

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

Solve for w

$$w=\frac{64}{y^{4}}$$

$$y\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by y^{4}.

$$4^{3}=wy^{4}$$

Calculate 4 to the power of 3 and get 64.

$$64=wy^{4}$$

Swap sides so that all variable terms are on the left hand side.

$$wy^{4}=64$$

The equation is in standard form.

$$y^{4}w=64$$

Divide both sides by y^{4}.

$$\frac{y^{4}w}{y^{4}}=\frac{64}{y^{4}}$$

Dividing by y^{4} undoes the multiplication by y^{4}.

$$w=\frac{64}{y^{4}}$$

Solve for y (complex solution)

$$y=2\sqrt{2}iw^{-\frac{1}{4}}$$

$$y=2\sqrt{2}w^{-\frac{1}{4}}$$

$$y=-2\sqrt{2}w^{-\frac{1}{4}}$$

$$y=-2\sqrt{2}iw^{-\frac{1}{4}}\text{, }w\neq 0$$

Solve for y

$$y=\frac{2\sqrt{2}}{\sqrt[4]{w}}$$

$$y=-\frac{2\sqrt{2}}{\sqrt[4]{w}}\text{, }w>0$$