Laws of Exponents Jeopardy

Multiplying and Dividing 1

100

Simplify using Laws of Exponents: c · c⁵

c⁶

200

Simplify using Laws of Exponents: b¹² / b⁸

b⁴

300

Simplify using Laws of Exponents: d²² · d¹²

d³⁴

400

Simplify using Laws of Exponents: x²⁵ / x¹³

x¹²

500

Simplify using Laws of Exponents: a³⁰ / a²⁰

a¹⁰

Multiplying and Dividing 2

100

Simplify using Laws of Exponents:(-2w⁴)(5w)

-10w⁵

200

Simplify using Laws of Exponents: 4x⁹ / 2x⁵

2x⁴

300

Simplify using Laws of Exponents: (6b¹²)(3b²)

18b¹⁴

400

Simplify using Laws of Exponents: -8r¹⁰ / 2r⁵

-4r⁵

500

Simplify using Laws of Exponents: (-9s)(2s³)

-18s⁴

Definitions

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^mn

Power of a Power Rule

400

What is the name of this property?

a^m x aⁿ = a^m+n

Product of Powers Rule

500

What is the name of this property?

a^m/aⁿ = a^m-n

Quotient of Powers Rule

Put It All Together

100

2 (x + 4)

2x + 8

200

-2 (x + 5)

-2x - 10

300

- (x - 6)

- x + 6

400

2x (4x - 3)

8x² - 6x

500

2x (x - 5) +  3x (x +2)

5x² - 4x