multiplication properties of exponents section 7.1

20
MULTIPLICATION PROPERTIES OF EXPONENTS Section 7.1

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Main Question Discovery

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Page 1: MULTIPLICATION PROPERTIES OF EXPONENTS Section 7.1

MULTIPLICATION PROPERTIES OF

EXPONENTSSection 7.1

Page 2: MULTIPLICATION PROPERTIES OF EXPONENTS Section 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

Page 3: MULTIPLICATION PROPERTIES OF EXPONENTS Section 7.1

Main Question Discovery• is a monomial

• is not a monomial

Page 4: MULTIPLICATION PROPERTIES OF EXPONENTS Section 7.1

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.

Page 5: MULTIPLICATION PROPERTIES OF EXPONENTS Section 7.1

Which of these are monomials?

10 −𝑥+523𝑎𝑏𝑐 𝑑2 𝑥𝑦 𝑧 2

2

𝑚𝑝𝑛

−15𝑔22−3𝑎5

𝑔

Page 6: MULTIPLICATION PROPERTIES OF EXPONENTS Section 7.1

How do you feel?Got it!

Almost There

HELP!!!

Page 7: MULTIPLICATION PROPERTIES OF EXPONENTS Section 7.1

Main Question Discovery• Expand and evaluate the following:

Page 8: MULTIPLICATION PROPERTIES OF EXPONENTS Section 7.1

Product of Powers Definition

𝒂𝒎 ∙𝒂𝒏=𝒂𝒎+𝒏

Page 9: MULTIPLICATION PROPERTIES OF EXPONENTS Section 7.1

Using the Product of Powers property, evaluate the following:

Page 10: MULTIPLICATION PROPERTIES OF EXPONENTS Section 7.1

Use the Product of Powers Property to evaluate the following:

Page 11: MULTIPLICATION PROPERTIES OF EXPONENTS Section 7.1

How do you feel?Got it!

Almost There

HELP!!!

Page 12: MULTIPLICATION PROPERTIES OF EXPONENTS Section 7.1

Main Question Discovery• Expand and evaluate the following:

Page 13: MULTIPLICATION PROPERTIES OF EXPONENTS Section 7.1

Power of a Power Definition

(𝒂𝒎 )𝒏=𝒂𝒎𝒏

Page 14: MULTIPLICATION PROPERTIES OF EXPONENTS Section 7.1

Using the Power of a Power property, evaluate the following:

Page 15: MULTIPLICATION PROPERTIES OF EXPONENTS Section 7.1

How do you feel?Got it!

Almost There

HELP!!!

Page 16: MULTIPLICATION PROPERTIES OF EXPONENTS Section 7.1

Main Question Discovery• Expand and evaluate the following:

Page 17: MULTIPLICATION PROPERTIES OF EXPONENTS Section 7.1

Power of a Power Definition

(𝒂𝒃)𝒎=𝒂𝒎𝒃𝒎

Page 18: MULTIPLICATION PROPERTIES OF EXPONENTS Section 7.1

Using Power of a Product property, simplify the following:

Page 19: MULTIPLICATION PROPERTIES OF EXPONENTS Section 7.1

Team Points Challenge #1• Simplify

Page 20: MULTIPLICATION PROPERTIES OF EXPONENTS Section 7.1

Team Points Challenge #2• Simplify