An exponent represents how many times a number should be multiplied by itself. For example, x3 (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 instances of the cubed variable on one side of the equation. Practice using the example
First, add 6x3 to both sides. This leaves you with:
Next, subtract 2 from both sides to isolate the variable:
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 8x3 = 1 by 8 to obtain
Eliminate the cube on the variable by taking the cube root of both sides of the equation:
Simplify the answer. Because the cube root of 8 is 2: