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: 2¹² . 2⁸

2²⁰ 

300

Simplify using Laws of Exponents: d²² · d¹²

d³⁴

400

Simplify using Laws of Exponents: (3² )¹⁰. (3⁵)³. 2

2 . 3³⁵

500

Simplify using Laws of Exponents: (a³⁰ )⁵. a²⁰

a¹⁷⁰

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 

Multiplication, 5¹⁵

300

Simplify using Laws of Exponents: (x⁴)³

x¹²

400

Simplify using Laws of Exponents: (6⁸)⁴

6³²

500

Simplify using Laws of Exponents: (((p⁵)²)²)²)

p⁴⁰

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: x⁹ / x⁵

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^-2/x^-2

1

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: (ab)⁵

(a⁵b⁵)

400

Simplify using Laws of Exponents: 

6³.5⁶ . 6 . 5²/   6 . 5²

5⁶ . 6³

500

Simplify using Laws of Exponents:  

( 2⁴ .  7³ . 2 . 7) / 2⁸ . 7⁶

1/ 2³ .7²

Negative Rule

100

What is the rule for negative exponents?

x^-m= 1/x^m

200

Simplify using the negative exponent rule: 

2^-1

1/2¹ = 1/2

300

Simplify: 

4^-3

1/4³ = 1/64

400

Simplify: 

1/a^-4

a⁴

500

Simplify: c^-2/5

1/5(c²)