Laws of Exponents Jeopardy

Multiplying and Dividing

100

Simplify using Laws of Exponents: 

c*c^5

c⁶

200

Simplify using Laws of Exponents: 

b^12/b^8

b⁴

300

Simplify using Laws of Exponents: 

d^22*d^12

d³⁴

400

Simplify using Laws of Exponents: 

x^-3*x^15

x¹²

500

Simplify using Laws of Exponents: 

a^30/a^20

a¹⁰

Powers of a Power

100

Simplify using Laws of Exponents: 

(3^2)^5

3¹⁰

200

Simplify using Laws of Exponents: 

(5^3)^5

5¹⁵

300

Simplify using Laws of Exponents: 

(x^4)^3

x¹²

400

Simplify using Laws of Exponents: 

(6^8)^4

6³²

500

Simplify using Laws of Exponents: 

(p^5)^10

p⁵⁰

Multiplying and Dividing

100

Simplify using Laws of Exponents:

(-2w^4)(5w)

-10w⁵

200

Simplify using Laws of Exponents: 

(4x^9)/(2x^5)

2x⁴

300

Simplify using Laws of Exponents: 

(6b^12)(3b^2)

18b¹⁴

400

Simplify using Laws of Exponents: 

(-8r^10)/(2r^5)

-4r⁵

500

Simplify using Laws of Exponents: 

(-9s)(2s^3)

-18s⁴

Powers of Power cont.

100

Simplify using Laws of Exponents: 

(5j^6)^4

625j²⁴

200

Simplify using Laws of Exponents: 

(8x^9)^5

8^5x^45

300

Simplify using Laws of Exponents: 

(-3a^5b^12)^3

-27a^15b^36

400

Simplify using Laws of Exponents: 

(7a^5b^6)^4

7^4a^20b^24

500

Simplify using Laws of Exponents: 

(-5a^2b^7)^7

(-5)^7a^14b^49

Misc.

100

What do we do to the exponents when we have the same bases being multiplied?

Add them

200

What do we do to the exponents when we have the same bases being divided?

Subtract them

300

What is the name of this exponent property: 

(x^m)^n=x^(m*n)

Power of a Power Rule

400

What is the name of this property?

a^m*a^n=a^(m+n)

Product Rule

500

What is the name of this property?

a^0

Zero rule