Laws of Exponents Jeopardy

Product of Powers

100

What operation do you use to solve using the laws of exponents?: c · c⁵

Addition

200

Simplify using Laws of Exponents: 2¹¹ . 2⁸

2^{19 = 524288} 

300

Simplify using Laws of Exponents: d²² · d¹²

d³⁴

400

Simplify using Laws of Exponents: 3⁵⁶ . 3⁷⁵

3¹³¹

500

Simplify using Laws of Exponents: a¹⁶⁸ . a²³²

a⁴⁰⁰

Powers of a Power

100

Simplify using Laws of Exponents: (3²)⁵

3¹⁰

200

What operation do you use to simplify this expression?: (5³)⁵ 

^{Bonus point for having the answer too!}

Multiplication, 5¹⁵

300

Simplify using Laws of Exponents: (x⁷)⁸

x⁵⁶

400

Simplify using Laws of Exponents: (6⁸)¹²

6⁹⁶

500

Simplify using Laws of Exponents: (p¹²)¹⁵

p¹⁸⁰

Quotient of Powers

100

What operation do you use to solve using laws of exponents? 

x^3 / x^2

Subtraction

200

Simplify using Laws of Exponents: 

x^9/x^5

x⁴

300

Simplify using Laws of Exponents: (b¹²)/(b²)³

b⁶

400

Simplify using Laws of Exponents: (r¹⁰)(r^-2)/ (r¹⁰)

1/r²

500

Simplify using Laws of Exponents: 

x^5/x^3(x^2)

x⁴

Power of a Product

100

Simplify using the laws of exponents: 

(xy)⁷

x⁷y⁷

200

Simplify using Laws of Exponents: (2*5)³

2³5³

300

Simplify using Laws of Exponents: 2(ab)⁵

2(a⁵b⁵)

400

Simplify using Laws of Exponents: 

5(3m)²⁰

5(3²⁰m²⁰)

500

Simplify using Laws of Exponents:

(cd)⁷

c⁷d⁷

Negative/Zero Rule

100

Rewrite without negative powers. x^-1 

1/x

200

Simplify using the negative exponent rule: 

2^-1

1/2¹ = 1/2

300

Simplify: 

4^-3

1/4³ = 1/64

400

Simplify: 

(3x)^0+4y^0

5

500

5^-4(3x)^0

Simplify: 

1/625

Random Trivia

100

Who was the first president of the United States?

George Washington

200

What is the third rock from the sun?

Earth

300

What artist is famous for her Eras tour?

Taylor Swift

400

What was the first Major League Baseball team?

The Reds

500

What is the capital of Florida?

Tallahassee