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Positive Exponents and Zero Exponents

Related Topics:
More Lessons for Arithmetic
Math Worksheets



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

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