An exponent represents how many times a number should be multiplied by itself. For example, *x*^{3} (or x cubed) would be written out as *x* × *x* × *x*. Canceling out a component in an equation requires using the opposite of that component. For example, subtracting 4 eliminates positive 4. The opposite of exponents are roots. The opposite of an exponent of 3 is a cubed root, indicated by this symbol: ³√.

## Isolate the Cubed Variable

## Eliminate the Coefficient

## Take the Cube Root

Isolate the instances of the cubed variable on one side of the equation. Practice using the example 2_x_^{3} + 2 = 3 - 6_x_^{3}.

First, add 6_x_^{3} to both sides. This leaves you with:

8_x_^{3} + 2 = 3.

Next, subtract 2 from both sides to isolate the variable:

8_x_^{3} = 1

Eliminate the leading number or coefficient of the variable as the exponent only applies to the variable, not to that number. To continue the example, divide both sides of 8_x_^{3} = 1 by 8 to obtain *x*^{3} = 1/8.

Eliminate the cube on the variable by taking the cube root of both sides of the equation: ³√(*x*^{3}) = ³√(1/8) or *x* = ³√(1/8). Simplify the answer. Because the cube root of 8 is 2, the cube root of 1/8 is 1/2. So *x* = 1/2.