Pre-Algebra: Exponent Properties

Negative Exponent Property

100

3^-1

What is 1/3

200

2^-3

What is 1/(2³) or 1/8

300

a^-3

What is 1/a³

400

ab^-4

What is a/b⁴

500

(3²)^-4

What is 1/3⁸

Zero Exponent Property

100

10⁰

What is 1

200

12⁰ + 3⁰

What is 2

300

-(21⁰)

What is -1

400

0.9d⁰

What is 0.9

500

32(xyz)⁰

What is 32

Product of Powers Powers of Products

100

Simplify 5³ * 5⁹

What is 5²⁷

200

k^-4 x k⁷

What is k³

300

9⁸ x 12⁸

108⁸

400

(9²)(9^-8)(9⁶)

What is 1

500

(3x⁷)(7x²)

What is 21x⁹

Quotient of Powers Property

100

y¹²/y⁵

What is y⁷

200

m^-3/m^-5

What is m²

300

11^-2/11⁷

What is 1/11⁹

400

(4³x²)/(4⁶x)

What is x/4³

500

(n⁸p⁴q^-2)/(n³p^-1q^-4) 

What is n⁵p⁵q²

Power of Power Property

100

Simplify (5³)⁴

What is 5¹²

200

(y^-3)^-7

What is y²¹

300

(a⁵b²)³

What is a¹⁵b⁶

400

(4p⁰)³

What is 4³

500

(2a^1/2)⁴

What is 16a²