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 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

Rules

100

Base raised to the zero power is equal to one

Rule 6 -Zero Exponent

200

When raising a quotient to a power, the exponent applies to both the numerator and the denominator of the fraction

Rule 5 - Power of a Quotient

300

A negative exponent represents the reciprocal of the base raised to the absolute value of the exponent

Rule 7 Negative Exponent

400

Example of this rule

3² x 3⁴ = 3^{2 +4} = 3⁶

Rule 1 - Products of Powers (Multiplication)

500

Example of this rule

(2x3)²  = 2² x 3² = 4 x 9 = 36

Rule 4 - Power of a Product