LAW OF EXPONENTS


Unit Overview

In a previous unit, you were introduced to properties of exponents.  In this unit, you will expand on the concept of exponent properties which are rules used for simplifying algebraic expressions.  It is important to understand these rules as exponents are used in real-world situations such as finding area and volume.  In biology and physics you may encounter quotients that involve exponents.


Multiplying Monomials


                         Now try one: 

question1Simplify (34a2b3)(3–3a5b3).

3a7
Note: b0 is one and b should not be in your answer.

"Click here" to check the answer.



 


Stop!
 
Go to Questions #1-8 about this section, then return to continue on to the next section.



Geometry Connection

question1Find the volume when   l = 7x   w = 8xy   and   h = 2xy.

V = 112x3y2

"Click here" to check the answer.



Stop!
 
Go to Questions #9-11 about this section, then return to continue on to the next section.


Powers and Products




question1Use multiple rules to simplify this expression (2a3)3 (3a2b4).

24a11b4

"Click here" to check the answer.



 

 


Stop!  Go to Questions #12-16 about this section, then return to continue on to the next section.


Powers of (–1)

Stop!  Go to Questions #17-35 to complete this unit.





Below are additional educational resources and activities for this unit.
 
Multiplying Monomials
 
Exponents and Multiplication
 
Powers of Products and Quotients