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7.5 Division Properties of Exponents. Standard: SWBAT understand and apply the rules for exponents in dividing monomial expressions. Mini Quiz 35. Simplify ((5 y ) 2 ) 0 Which expression is equivalent to x 6 x 2 a) x 4 x 3 b) x 5 x 3 c) x 7 x 3 d) x 9 x 3 Simplify (2 y 2 ) 4.

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7 5 division properties of exponents

7.5 Division Properties of Exponents

Standard: SWBAT understand and apply the rules for exponents in dividing monomial expressions.

mini quiz 35
Mini Quiz 35
  • Simplify ((5y)2)0
  • Which expression is equivalent to x6x2

a) x4x3 b) x5x3 c) x7x3 d) x9x3

  • Simplify (2y2)4
quick review
Quick Review

1. What does it mean to “simplify” an exponential expression?

No Zero Exponents

No Negative Exponents

Variables appear once

No parentheses ( )

2. What happens when a variable appears on the top and on the bottom?

They can cancel (to 1’s)

overview
Overview

Division Properties of Exponents

- Quotient of Powers Property

- Power of a Quotient Property

division property of exponents
Division Property of Exponents

Simplify the following by expanding. Don’t multiply them, find 1’s.

For example,

1.

2.

3.

1

1

8

1

division property of exponents1
Division Property of Exponents

Simplify the following by expanding.

4.

5.

6.

x

Do you see a shortcut?

Quotient of Powers Property

division property of exponents2
Division Property of Exponents

Simplify the following by expanding.

7.

8.

9.

Do you see a shortcut?

Power of a Quotient Property

division property of exponents3
Division Property of Exponents

Simplify the following.

10.

11.

12.

division property of exponents4
Division Property of Exponents

Simplify the following by expanding.

13.

14.

15.

division property of exponents5
Division Property of Exponents

Simplify the following by expanding.

16.

17.

18.

wrap up
Wrap Up

Division Properties of Exponents

- Quotient of Powers Property

- Power of a Quotient Property

P. 354 #1-11 odd, 21-49 EOO, 89-99 odd

DLUQ: When you cancel, what does it become?