Properties of Exponents Review

Properties of One & Zero

100

X¹

X

200

10⁰

1

300

10⁰ x 5¹

5

400

5⁰ x 5¹ x 3²

5 x 9 = 45

500

13⁰ x 12¹ x 2⁶ 

64 x 12 x 1 = 768

Quotient and Product Properties

100

x² · x³

x⁵

200

a⁴ · a¹ · a²

a⁷

300

x⁵ ÷ x²

x³

400

3x⁶ ÷ x²

3x⁴

500

y⁸ ÷ y¹²

y^-4 or 1/y⁴

Power of a Power Property

100

(x²)³

x⁶

200

(a⁴)²

a⁸

300

(3²)³

3⁶ = 729

400

(3x²)³

27x⁶

500

(7n⁴)²

49n⁸

Negative Exponent

100

x^-2​​​​

1/x²

200

5^-2

1/5² OR 1/25

300

x^-1

1/x

400

7x^-3

7/x³

500

x³y^-2

x³/y²

Random Trivia

100

How many bases on a baseball field? 

4

200

What is the square root of 64?

8

300

What is America's first National Park?

Yellowstone

400

What is the chemical symbol for gold? 

Au

500

Name two of the four largest rivers in the world..

Nile River (4,135 miles)

Amazon River (4,000 miles)

Yangtze River (3,917 miles) 

Mississippi River (3,902 miles)