Positive Exponents and Zero Exponents


Related Topics:
More Lessons for Arithmetic
Math Worksheets




Share this page to Google Classroom

The following diagram shows how to calculate exponents or indices. Scroll down the page for more examples and solutions on exponents.
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.

So, a0 = 1, for a ≠ 0

Example:
Simplify the following:
a) 30
b) (-1)0

Solution:
a) 30 = 1
b) (–1)0 = 1

Introduction To Exponents (Indices)

Examples of positive exponents and zero exponent



Check out our most popular games!
Fraction Concoction Game
Fraction Concoction
Fact Family Game
Fact Family Game
Number Bond Garden Game
Number Bond
Garden
Online Addition Subtraction Game
Online Addition
Subtraction Game
Penguin Solitaire Game
Penguin Solitaire
Sawayama Solitaire Game
Sawayama
Solitaire
Ark Solitaire Game
Ark Solitaire
Eldritch Invasion Solitaire
Eldritch Invasion
Shenzhen Solitaire Game
Shenzhen
Solitaire

Check out more Solitaire games here.



We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.