# Exponents

### Roots, Powers and Scientific Notation

## Roots

- Perfect Squares are made when a number is multiplied by itself

- Perfect Cubes are made when a number is multiplied by itself three times.

∛27 = 3 because 3 x 3 x 3 = 27

- A root is the number that is multiplied by itself.
- A square root is the length of one side of a square.

√49 = 7

- A cube root is the length of one side of a cube.

∛125 = 5

## Try this Problem!

The area of Mr. Brown's back yard is 657 square feet. He wants to build a fence. The fence will form a square. How long should one side of the fenced in area be? Round to the nearest tenth.

Solution: 25.6 feet