MULTIPLICATION PROPERTIES OF EXPONENTS Section 7.1

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