7.5 Division Properties of Exponents

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# 7.5 Division Properties of Exponents - PowerPoint PPT Presentation

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

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

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

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

Division Properties of Exponents

- Quotient of Powers Property

- Power of a Quotient Property

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 Exponents

Simplify the following by expanding.

4.

5.

6.

x

Do you see a shortcut?

Quotient of Powers Property

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 Exponents

Simplify the following.

10.

11.

12.

Division Property of Exponents

Simplify the following by expanding.

13.

14.

15.

Division Property of Exponents

Simplify the following by expanding.

16.

17.

18.

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?