# Positive Exponents and Zero Exponents

## Positive Exponents - Repeated Multiplication

The notation *a*^{n} for *n* > 0, means **a** multiplied by itself **n** times.

For example,

For a quantity *a*^{n}, *a* is called the **base** and *n* is called the **exponent** or **index**.

*Example: *

Find the value of each of the following:

* Solution: *

## Zero Exponents

Any number with an exponent of **0** is **1**.

So, a

^{0} = 1, for a &me; 0

*Example: *

Simplify the following:

a) 3

^{0}
b) (-1)

^{0}
* Solution: *

a) 3

^{0} = 1

b) (– 1)

^{0} = 1

The following video shows some examples of positive exponents and zero exponent:

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