An exponentiated expression is one that contains a base number and an exponent, or "power." A number is said to be "cubed" when it is raised to the 3rd power. For example, 5^3, pronounced "five cubed," is equivalent to multiplying 5 by itself three times -- (5 x 5 x 5) = 125. Roots are inverse operations of exponents. That is, roots "undo" the operation of exponents. Because 5^3 = 125 and a cubed root undoes a cubed exponent, the cubed root of 125 = 5.
Create a cubed expression which contains a base number raised to the power of 3. For example, 5^3 is a cubed expression.
Take the cubed root of the cubed expression. For example, 5^3 becomes (cubed root (5^3)). A simpler way to write the cubed root expression is to raise the base to (1/3). So, (cubed root (5^3)) becomes (5^3)^(1/3).
Drop the exponent from the expression. You are left with only the base of the expression. For example, (5^3)^(1/3) becomes simply 5 because (3 x (1/3)) = 1 and 5^1 = 5.
- BananaStock/BananaStock/Getty Images