Properties of Exponents

Product of Power

100

What would you do to the exponents to simplify

7^{2  *}  7³

Add them

200

Simplify 

10^{3 *} 10⁴

10⁷

300

Simplify 

9 * 9⁷

9⁸

400

Can I simplify this? 

5^{3 *} 2 ⁵

No, because they have different bases. 

500

Simplify 

2^{3 *} 2 * 2⁵

2⁹

Power of Power

100

What would you do to the exponents to simplify

( 8²) ³

Multiply the exponents

200

Simplify 

( 7 ^3) 5

7 ¹⁵

300

Simplify 

( 10 ) ⁵

10⁵

400

Simplify 

(4 ^4) 4

4¹⁶

500

Simplify 

( 6^{0) 3}

1³

Quotient of Power

100

What would you do to the exponents to simplify

10⁵/10²

Subtract

200

Simplify 

9⁸/9⁵

9³

300

Simplify 

12¹⁰/12⁵

12⁵

400

Simplify

8^6/8

8⁵

500

Simplify 

2⁰/2⁰

1

Zero Property

100

Any number to the power of 0 is always what?

1

200

Simplify 

2⁰( 10)

10

300

Simplify 

2²( 6⁰)

4

400

Simplify 

5² ( 6 ⁰)

25

500

Simplify 

6⁰ * 3^{0 *} 3³

27

Fun Facts

100

What is the capital of Massachusetts?

Boston

200

Who is the current President?

Joe Biden

300

What is the Leominster High School Mascot?

The Blue Devil

400

How old do you have to be to get a driving permit?

16

500

What year was Mrs. Forgues born in?

1976