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: 

2^12 * 2^8

2²⁰

300

Simplify using Laws of Exponents: d²² · d¹²

d³⁴

400

Simplify using Laws of Exponents:

3^2 * 3^5

3⁷

500

Simplify using Laws of Exponents: 

a^-30*a^20

1/a^50

Powers of a Power

100

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

^{Bonus point for having the answer too!}

Multiplication, 5¹⁵

200

Simplify using Laws of Exponents: (3²)⁵

3¹⁰

300

Simplify using Laws of Exponents: (x⁴)³

x¹²

400

Simplify using Laws of Exponents: (6⁸)^-4

6^-32

500

Simplify using Laws of Exponents: (p^-5)^-10

p⁵⁰

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: 

(b^12)/(b^2)^3

b⁶

400

Simplify using Laws of Exponents: 

(r^10*r^-2)/ (r^10)

1/r²

500

Simplify using Laws of Exponents: 

x^-2/x^-2

1

Negative Rule

100

What is the rule for negative exponents?

x^-m= 1/x^m

200

Simplify using the negative exponent rule: 

2^-1

1/2^1 = 1/2

300

Simplify: 

4^-3

1/4^3 = 1/64

400

Simplify: 

1/a^-4

a⁴

500

Simplify: 

c^-2/c^5

1/c^7

Mixed Properties

100

Simplify:

(c^6*c^0)/c^2

c⁴

200

Simplify using Laws of Exponents: 

(d^3*d^3)/d^2

d⁴

300

Simplify using the laws of exponents: 

(x^4)^-3 * x^4

1/x^8

400

Simplify using Laws of Exponents: 

x/(x^0)^2

x = x¹

500

Simplify using Laws of Exponents: 

((x^-3)^4*x^4)/x^-3

1/x^5