Exponents

Product Rule

100

2⁵*2⁷

2¹²

200

y⁷*y³

y¹⁰

300

z¹⁰*z^-6

z⁴

400

a⁶*b⁶

a⁶*b⁶

500

The length of a rectangle is 24⁵ feet. The width is 24⁴ feet. Write an expression to represent the area. 

24⁹ square feet

Quotient Rule

100

      6⁹

________

      6⁴

        

6⁵

200

      y²

__________

      y¹⁰

1

___

y⁸

300

6^-6 

____

6⁵

1

__

6¹¹

400

(-8)^-1​

_____

(-8)^-5 

​​​

(-8)⁴

500

12a⁸

_____

16a

3a⁷

^______

4

Power Rule

100

(2⁴)⁷

2²⁸

200

(9²)^-5

1

____

9¹⁰

300

((-5)^-2)^-6 

(-5)¹²

400

(x^-3)⁹

1

___

x²⁷

500

(2⁵x^-6)³

2¹⁵

___

x¹⁸

Zero/Negative Rule

100

2⁹

____

3⁰

2⁹

200

2^-6

1

____

2⁶

300

(2^-2)(2^-1)

1

____

2³

400

5²6^-8

5²

_____

6⁸

500

(x²)^-6

_____

x²

1

_____

x¹⁴

Mixed (Double Points)

100

(6x)^-2 (x)³

x

____

6²

200

((2)(2⁰))⁰

________

y⁷b¹²

1

_____

y⁷b¹²

300

(4^-3)⁴

_______

4^-1

1

____

4¹¹

400

x^-72x⁵

______

10x

1

_____

5x³

500

27a^-4b³

________

9a³b

3b²

_____

a⁷