Rules of Exponents

Exponent Rule 1

100

What math will happen with the a and b for the problem?   3^a x 3^b

    a + b

200

Simplify the following:   w¹² x w¹³

w²⁵

300

Simplify the following:   4³ x 4^-5

      1       or     1/16  

      4²

400

-4b³ x 5b¹¹

-20b¹⁴

500

-6w⁴y⁷ x -7w¹³y¹⁶

42w¹⁷y²³

Exponent Rule 2

100

What math will happen with the a and b:

     x^a    

     x^b

x^{a - b}

200

Simplify the following:   h¹³

                                   h⁵

h⁸

300

Simplify the following:      3²

                                                   3^-2

3⁴   or 81

400

Simplify the following:     3f⁵    

                                   21f¹⁴

         1    

        7f⁹        

500

Simplify       15j⁵k³⁴    

                    6j²⁰k¹⁴

     5k²⁰     

      2j¹⁵

Exponent Rule 3

100

What math will happen with the a andb?

                   (5^a)^b

   a x b

200

Simplify the following:       (2v⁶)³

        8v¹⁸

300

5d(g³)⁶

5dg¹⁸

400

Simplify:       e¹⁷g⁸    

                   (e⁴g⁵)⁴

    e    

   g¹²

500

7^-9(7³)³ + 3

4

Roots 'n Stuff

100

v/256 

16

200

Simplify:        

  5ts⁰

5t

300

v/324 - v/121

7

400

Simplify   c⁴m⁵ x m⁴   

                c⁹m³

   m⁶    

    c⁵

500

4p(2p⁷k⁸)³

32p²²k24

Potent Potables

100

NaCl or Sodium Chloride is the more commonly known as what?

Salt

200

Which state is not one of the original 13 colonies?

New York        New Hampshire

Vermont           Connecticut

Vermont

300

The name of Mulan's Sidekick Dragon.

Mushu

400

Below is an example of what type of poetry?

Math class is so fun,

We work with numbers and such,

Exponents are great! 

Haiku

500

What team is the most recent world series winner?

Los Angeles Dodgers