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: 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: x⁵/x³ * x²

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: 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 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/a⁴

a^-4

500

Simplify: 1/625

5^-4