Friday warm-up : Simplify with only integers & Positive exponents
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FRIDAY WARM-UP: SIMPLIFY WITH ONLY INTEGERS & POSITIVE EXPONENTS
EXPONENTS
POWER TO A POWER PROPERTY
REVIEW• Product of Powers Property
• Quotient of Powers Property
• Definition of Zero Exponent
• Definition of Negative Exponents
a m • a
n = a m + n
= a m – na
m
a n
𝑎0=1
𝑎−𝑛=1
𝑎𝑛
WHAT DO YOU THINK?
• What rule do you think we will use here?
POWER TO A POWER
For any integer a, and any exponents m and n,
Algebra
Numbers
(𝑎𝑚 )𝑛=𝑎𝑚 ∙𝑛
Words
REMEMBER THIS?
• What is the Order of Operations?
1. Parenthesis ( )
2. Exponents
3. Left to Right: Multiplication and Division
4. Left to Right: Addition and Subtraction
ARE THESE EXPRESSIONS EQUAL?
Remember the Order of Operations… Simplify parenthesis before exponents!
PRACTICE
PRACTICE
PRACTICE