MULTIPLICATION PROPERTIES OF
EXPONENTSSection 7.1
7.1 Topic Focus• I can multiply monomials using the properties of exponents• I can simplify expressions using the multiplication properties of
exponents
Main Question Discovery• is a monomial
• is not a monomial
Some Definitions• A Monomial is an expression with numbers, variables, and
exponents connected only multiplication and division• No Addition or Subtraction• No variable in the denominator
• A Constant is a monomial which is a real number.
Which of these are monomials?
10 −𝑥+523𝑎𝑏𝑐 𝑑2 𝑥𝑦 𝑧 2
2
𝑚𝑝𝑛
−15𝑔22−3𝑎5
𝑔
How do you feel?Got it!
Almost There
HELP!!!
Main Question Discovery• Expand and evaluate the following:
Product of Powers Definition
𝒂𝒎 ∙𝒂𝒏=𝒂𝒎+𝒏
Using the Product of Powers property, evaluate the following:
Use the Product of Powers Property to evaluate the following:
How do you feel?Got it!
Almost There
HELP!!!
Main Question Discovery• Expand and evaluate the following:
Power of a Power Definition
(𝒂𝒎 )𝒏=𝒂𝒎𝒏
Using the Power of a Power property, evaluate the following:
How do you feel?Got it!
Almost There
HELP!!!
Main Question Discovery• Expand and evaluate the following:
Power of a Power Definition
(𝒂𝒃)𝒎=𝒂𝒎𝒃𝒎
Using Power of a Product property, simplify the following:
Team Points Challenge #1• Simplify
Team Points Challenge #2• Simplify