Laws of Exponents Jeopardy

Multiplying and Dividing

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

Powers of a Power

100

Simplify using Laws of Exponents: (3²)⁵

3¹⁰ =59049

200

Simplify using Laws of Exponents: (2³)⁵

2¹⁵ =32768

300

Simplify using Laws of Exponents: (x⁴)³

x¹²

400

Simplify using Laws of Exponents: (6³)³

6⁹ = 10077696

500

Simplify using Laws of Exponents: (p⁵)¹⁰

p⁵⁰

Multiplying and Dividing

100

Simplify using Laws of Exponents:(-2⁴)(-2)

32

200

Simplify using Laws of Exponents: 2⁹ / 2⁵

16

300

Simplify using Laws of Exponents: (3⁶)(3²)

6561

400

Solve.

6^-7/6^-3

1/1296

500

Solve.

-3^-9/-3^-2

1/-2187

Negatives and Negative/Zero Exponents

100

^Solve. 

2^-4

1/16

200

Solve.

(-345)⁰

1

300

Solve.

-5^-2

1/-25

400

(-8)²

64

500

Simplify using Laws of Exponents: (-5a²b⁷)⁷

-78125a¹⁴b⁴⁹

Misc.

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 Property

400

What is the name of this property?

a^m x aⁿ = a^m+n

Product of Powers Property

500

What is the name of this property?

a^m/aⁿ = a^m-n

Quotient of Powers Property