Intermath | Workshop Support
Write-Up

 

Title

Exponent Rules

 

Problem Statement
What are the exponent rules? Explain the rule that any number to the zero power equals the number one.


Problem setup

The following are the exponent rules: x^0 = 1, x^a X x^b= x^a+b, x^a/x^b = x^a-b, (x^a)^b = x^a X b, x^-n = 1/x^n

 

Plans to Solve/Investigate the Problem

The most perplexing part of exponent rules for me is that any number to the zero power is equal to one. I looked on the internet and saw the idea set up as I have written it below.

 

Investigation/Exploration of the Problem

Any number to the zero power is equal to the number one because if for example, x to the third power over x to the second power is equal to x to the first power because of the above rules, then x to the third power over x to the third power is equal to x to the zero power, and x to the third power over x to the third power is equal to one, then it follows that the result of this which is x to the zero power, will also equal one.

Pam Joseph
prj1@aol.com