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Positive Exponents and Zero Exponents

 

 

Positive Exponents - Repeated Multiplication

The notation an for n > 0, means a multiplied by itself n times.

Text Box: a2 = a × a and a3 = a × a × a

 

For example,

For a quantity an, a is called the base and n is called the exponent or index.

 

Example:

Find the value of each of the following:

Text Box: a)	(– 2)5  b)	   c)	0.33

Solution:

Text Box: a) (– 2)5 = (–2) × (–2) × (–2) × (–2) × (–2)                 = –32    b)	         c)	0.33 = 0.3 × 0.3 × 0.3  	        = 0.027

 

 

Zero Exponents

Any number with an exponent of 0 is 1.

Text Box: So, a0 = 1 for a  0

 

Example:

Simplify the following:

Text Box: a) 30  b) (–1)0

Solution:

Text Box: a) 30 = 1  b) (–1)0 = 1

 

 

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

 

 

 

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Useful Links:
Exponents - Math.com
 

 

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