COLLEGE ALGEBRA 5.2. Exponents (Division Rule)

Do Now: In the homework packet, g – L

Do Now: Simplify as much as possible 5x 2 y 3 (2xy 5 ) 3 (2x) 2 (3xy) 4

Homework Questions? Comments? Concerns? Confusions? ASK ASK ASK!

Quotient of Powers Rule For any numbers a, m, and n,

Why does this work? Consider….

Example One:

You Try!

Power of a Quotient Rule For any numbers a, b, and m,

Example Two:

Why does this work? Consider

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Zero Exponent Rule For any nonzero number a, a 0 = 1

Negative Exponent Rule For any nonzero number a and any integer n,

Why does this work? Let’s take a look at what happens- It decreases!

CAUTION There is a difference between

Example Three

You Try!

Example Four:

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Rational Exponents “Power over Root” Think: Rational, hence rational means fraction Realize: Both forms are equivalent

Example Five: Change to Radical Form:

Example Six: Change to radical form

Example Seven: Change to exponential form

You Try! Change to radical form:

You Try! Change to exponential form

Practice Problems Try some on your own/in your table groups As always don’t hesitate to ask me questions if you are confused and/or