Properties of Exponents Jeopardy

Multiplying and Dividing

100

What operation do you use to solve using the properties of exponents?: 3 · 3⁵

Addition

200

Simplify using Properties of Exponents: 2¹² / 2⁸

2⁴

300

Simplify using Properties of Exponents: 7²² · 7¹²

7³⁴

400

Simplify using Properties of Exponents: 5²⁵ / 5¹³

5¹²

500

Simplify using Properties of Exponents: 6³⁰ / 6²⁰

6¹⁰

Power of a Power

100

Simplify using Properties of Exponents: (3²)⁵

3¹⁰

200

Simplify using Properties of Exponents: (5³)⁵

5¹⁵

300

Simplify using Properties of Exponents: (8⁴)³

8¹²

400

Simplify using Properties of Exponents: (6⁸)⁴

6³²

500

Simplify using Properties of Exponents: (9⁵)¹⁰

9⁵⁰

Multiplying and Dividing 2

100

What operation do you use to solve using properties of exponents? 

16³ / 16²

Subtraction

200

Simplify using Properties of Exponents: 2⁹ / 2⁵

2⁴

300

Simplify using Properties of Exponents: (4¹²) * (4²)³

4¹⁸

400

Simplify using Properties of Exponents: 9²/9²

1

500

Simplify using Properties of Exponents: (7¹⁰)(7²)/ (7⁵)²

7²

Simplify (answers do not have exponents)

100

Simplify using Properties of Exponents: (5²)¹

25

200

Simplify using Properties of Exponents: (2¹)⁵

2⁵

300

Simplify using Properties of Exponents: 

(2/3)²

4/9

400

Simplify using Properties of Exponents: 

(3/4)³

(27/64)

500

(2⁴)³ * (2⁵)⁵/(3⁴ * 3³)⁴

2³⁷/3²⁸

Final Jeopardy

100

What arithmetic operation do you perform to simplify the following?

    9⁰

Zero Exponent 

200

Which Law of exponents states: When dividing powers with the same base, subtract the exponents.

Quotient of Powers

300

Which law of exponents requires the multiplication of exponents?

Power of a Power

400

When do you simplify by rewriting the expression as a fraction with 1 in the numerator and a positive exponent in the denominator.

When the exponent is negative.

500

Which law of exponents fits the example shown below?

(6 x 2)⁴ = (6⁴ x 2⁴)

Power of a product