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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.


Find the value of each of the following:

Text Box: a)	(– 2)5  b)	   c)	0.33


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 &me; 0


Simplify the following:

a) 30
b) (-1)0


a) 30 = 1
b) (– 1)0 = 1

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

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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