Exponent Properties

Exponent Properties Involving Products

100

Simplify the following (put in condensed form): 

(6²)(6²)

What is (6⁴)

200

(x²)(x²)(x²)

What is x⁶

300

(y³)⁹

What is y²⁷

400

(x³)^-5

What is 1/x¹⁵

500

(x⁵)(y⁸)(x^-7)(y^-3)

What is y⁵/x²

Exponent Properties Involving Quotients

100

x⁴/x²

What is x²

200

y⁸/y³

What is y⁵

300

x³x⁴/x²

What is x⁵

400

x⁵y⁴/x³y³

What is x²y

500

y⁵y⁷/x²y³

What is y⁹/x²

Zero and Negative Exponent Properties

100

450⁰

What is 1?

200

x^-3

What is 1/x³

300

1/a^-4

What is a⁴

400

(x²)⁰

What is 1?

500

1/(b^-7)²

What is b¹⁴

Rational Numbers and Exponents

100

Simplify (in condensed form) and evaluate:

(1/5)³ x (1/5)²

(1/5)⁵ = 1/3125

200

Simplify and evaluate:

(-2.7)⁸/(-2.7)⁴

(-2.7)⁴=53.1441

300

Simplify and evaluate:

(3/4)³ x (3/4)⁰

(3/4)³ = 27/64

400

Simplify and evaluate:

(0.5²)³

(0.5)⁶ = 1/64 (or 0.015625)

500

Simplify and evaluate:

-(2/3)⁴ x (2/3)²

-(2/3)⁶ = -64/729