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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