**Exponents: Introduction to exponents**

**Exponents: Introduction to exponents**The

In

so

In words: 82 could be called "8 to the power 2" or "8 to the second power", or simply "8 squared"

**exponent**of a number says**how many times**to use the number in a multiplication.In

**82**the "2" says to use 8 twice in a multiplication,so

**82 = 8 × 8 = 64**In words: 82 could be called "8 to the power 2" or "8 to the second power", or simply "8 squared"

*Exponents are also called Powers or Indices.*

Example:

Example:

**53 = 5 × 5 × 5 = 125**- In words: 53 could be called "5 to the third power", "5 to the power 3" or simply "5 cubed"

Example:

**24 = 2 × 2 × 2 × 2 = 16**- In words: 24 could be called "2 to the fourth power" or "2 to the power 4" or simply "2 to the 4th"

## You can multiply **any** number by itself **as many times** as you want using exponents.

__In General__

So

**in general**:

an tells you to multiply

**a**by itself,

so there are

**n**of those

**a**'s:

__Other Way of Writing It__

Sometimes people use the

**^**symbol (above the 6 on your keyboard), as it is easy to type.

Example:

**2^4 is the same as 24**

**2^4 = 2 × 2 × 2 × 2 = 16**