For all of the following, n is an integer and n ≥ 2.

Definitions

1. if both b ≥ 0 and bⁿ = a.

Examples

because 2³ = 8.

2. If n is odd then .

3. If n is even then .

4. If a ≥ 0 then .

   and   

Distributing (a ≥ 0 and b ≥ 0)

1.

2.      (b ≠ 0)

Examples

3.    ( multiplied by itself n times equals a)

4.    (m ≥ 0)

Example

Careful!!

1.

2.

3.

Examples