# How To Get Rid Of Cubed Power

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.

### Step 1

Create a cubed expression which contains a base number raised to the power of 3. For example, 5^3 is a cubed expression.

### Step 2

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).

### Step 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.

### References

### Cite This Article

#### MLA

Braybury, Luc. "How To Get Rid Of Cubed Power" *sciencing.com*, https://www.sciencing.com/rid-cubed-power-10041486/. 24 April 2017.

#### APA

Braybury, Luc. (2017, April 24). How To Get Rid Of Cubed Power. *sciencing.com*. Retrieved from https://www.sciencing.com/rid-cubed-power-10041486/

#### Chicago

Braybury, Luc. How To Get Rid Of Cubed Power last modified March 24, 2022. https://www.sciencing.com/rid-cubed-power-10041486/