Properties of Exponents

Name that Property

100

a⁰=1

What is The Zero Exponent Property?

200

(a/b)^m = a^m/b^m

What is the Power of a Quotient Property?

300

(a^m)ⁿ = a^mn

What is the Power of a Power Property?

Negative and Zero Exponents

100

4⁰

1

200

(x⁵y⁸)⁰

1

300

a^-5

1/(a^5)

Quotient Rule and Power of a Quotient Rule

100

(a⁵)/(a³)

a²

200

x⁵/x^-3

x⁸

300

x⁴/x⁹ in fully simplified form

1/x⁵

Product Rule, Power of a Product Rule, and Power of a Power Rule

100

(a²)(a⁵) 

a⁷

200

(ab³)⁴

a⁴b¹²

300

(a³b⁴)^-2

1/a⁶b⁸