Exponents

Product Rule

100

What is an equivalent expression for 4⁵ x 4⁶ ?

4¹¹

200

What is an equivalent expression for m^-3 x m⁷ x m⁶ ?

m¹⁰

300

Write out in expanded form what 2³ * 2² is?

(2 x 2 x 2) x (2 x 2)

400

What is an equivalent expression for 

7⁴ * 7⁷ * 7⁵ * 7¹⁰  

7²⁶

500

Careful, this is not the Product Rule:

Solve:

3⁴ x 6⁴

18⁴ or 104,976

Quotient Rule

100

What is 16¹¹ ÷ 16⁸ ?

16³

200

Choose an equivalent expression for 17⁶ ÷ 17¹⁰ ?

17^-4

300

Choose an equivalent expression for 7^-8 ÷ 7^-2 ?

7^-6

400

Identify at least two answers for y¹⁰  ÷ y⁹

y or y¹

500

Identify at least 2 answers to 7⁴  ÷ 7⁶   

7^-2,   1 / 7² , 1/49

Power Rule

100

What is a nickname for the Power Rule?

The Jay Macauda Rule

200

Simplify the expression (14³)⁹

14²⁷

300

Simplify the expression (23⁴)^-2

23^-8

400

What is the value of the question mark?

(w^?)⁵ = w³⁵

? = 7

500

Simplify the expression:

(m^-8)^-6 =

m⁴⁸

Negative Powers

100

Write 7^-4  as a positive exponent

1 / 7⁴

200

-15^-3 = ?

1/ -15³

300

 Rewrite 1/ 8^-4  using a positive exponent

8⁴

400

Rewrite 1/ 212^-6  using a positive exponent

212⁶

500

What is an equivalent expression for w³ ?

1/ w^-3 but also numerous other possibilities using the product, quotient or power rule

Zero Power

100

8⁰ =?

1

200

-172⁰ = ?

1

300

12⁰ (7²) = ?

49

400

If x = 4, then evaluate the expression x⁰ (x^-2)

1/4² or 1/16

500

If y = 3, then evaluate the expression y⁰(2⁰)6³

216