Properties of Exponents Review

Product Property

100

7² x 7⁵

7⁷

200

3³ x 3

3⁴

300

(x⁵y⁶)(x³y²) 

x⁸y⁸

400

(8ab⁴c²)(3a⁴b²c)

24a⁵b⁶c³

500

(-4x¹⁰y¹²z⁴)(-8x¹²y⁴z²⁰)

32x²²y¹⁶z²⁴

Quotient Property

100

8⁸

__

8⁴

8⁴

200

3¹⁰

___

3

3⁹

300

6x⁷y⁴

^______

7x²y

6x⁵y³

____

7

400

4a⁸b⁷

____

8a⁴b²

1a⁴b⁵

____

2

500

18x²y⁸

^_______

10x⁹y³

9y⁵

____

5x⁷

Power to Power

100

(7²)⁸

7¹⁶

200

(20⁵)¹⁰

20⁵⁰

300

(2x⁴y³)³

8x¹²y⁹

400

(3a⁵b²c⁷)³

27a¹⁵b⁶c²¹

500

(5x³y⁶z⁴)³

125x⁹y¹⁸z¹²

Misc. 1

100

(5x⁴)(3x²y³)

15x⁶y³

200

8x⁴y³

____

12x⁸y

2y²

___

3x⁴

300

DAILY DOUBLE!

17x⁷

___

34x¹⁰

1

___

2x³

400

(4x³y⁶)³

64x⁹y¹⁸

500

(6⁸a⁵b⁸c¹⁰d⁵)⁰

1

Misc. 2

100

8a⁵b¹²

_____

14a²b¹⁰

4a³b²

_____

7

200

(2x⁶y⁴)(-3x²y¹²)

-6x⁸y¹⁶

300

(7x⁴y⁵)²

49x⁸y¹⁰

400

(6a⁵b³c⁸)³

216a¹⁵b⁹c²⁴

500

DAILY DOUBLE!

(10x⁴y⁵z⁶)⁵

100000x²⁰y²⁵z³⁰