Exponents

1
Exponents

• Standard 2.0
• Four Key Terms
• Four Rules

2
Vocabulary
3. EXPONENT
2. BASE
1. POWER
4. Exponential Notation
3
Multiplying Powers
RULE 1 When multiplying two powers with the
SAME BASE, you keep the base and add the
exponents!!!
Long Way
Short Way
4
Simplify. Express Using Exponents
5
Dividing Powers
RULE 2 When dividing two powers with the SAME
BASE, you keep the base and subtract the
exponents!!!
Long Way
Short Way
6
Simplify. Express Using Exponents
7
Negative Exponents
RULE 3 When an Exponent is NEGATIVE, you put 1
IN THE NUMERATOR and put the power with a
POSITIVE EXPONENT IN THE DENOMINATOR. (Y has an
unhappy (negative) power, so he goes downstairs
to make the power a positive one)
BASE Y
EXPONENTS -2
BASE Y
EXPONENTS 2
8
Express Using Positive Exponents
BASE X
EXPONENTS -3
BASE X
EXPONENTS 3
9
Express Using Positive Exponents
BASE 4X
EXPONENT -3
BASE 4X
EXPONENT 3
10
Zero Exponents
RULE 4 A power that has a EXPONENT is ALWAYS 1.
BASE 7
EXPONENT 0
11
Express Using Positive Exponents
BASE a
EXPONENT 0
12
Simplify
13
Raising a Power to a Power
RULE 5 When Raising a Power to a Power you
Multiply the exponents.
Long Way
Short Way
14
Simplify. Express Using Exponents
15
Raising a Product to a Power
RULE 6 Each factor inside the parenthesis is
raised to the given power.
Long Way
Short Way
16
Raising a Quotient to a Power
RULE 7 The numerator and denominator are raised
to the given power.
Long Way
Short Way
17
Simplify
18
Multiplying and Dividing Monomials

• Standard 10.0 Students multiply and divide
  monomials

19
Divide
20
Divide