Solve 1/x^3=a

$$\frac { 1 } { x ^ { 3 } } = a$$

Solve for a

$$a=\frac{1}{x^{3}}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by x^{3}.

$$1=ax^{3}$$

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

$$ax^{3}=1$$

The equation is in standard form.

$$x^{3}a=1$$

Divide both sides by x^{3}.

$$\frac{x^{3}a}{x^{3}}=\frac{1}{x^{3}}$$

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

$$a=\frac{1}{x^{3}}$$

Solve for x (complex solution)

$$x=e^{\frac{2\pi i}{3}}a^{-\frac{1}{3}}$$

$$x=a^{-\frac{1}{3}}$$

$$x=e^{\frac{4\pi i}{3}}a^{-\frac{1}{3}}\text{, }a\neq 0$$

Solve for x

$$x=\frac{1}{\sqrt[3]{a}}$$

$$a\neq 0$$