Properties of Exponents

Properties

100

a⁰=?

What is 1?

200

(ab)^m = 

(a^m)(b^m)

300

(a/b)^m = 

a^m / b^m

400

(a^m)(a^n) = 

a^(m + n)

500

(a^m)^n = 

a^(mn)

Negative and Zero Exponents

100

4^0 = ?

1

200

4,783,312,901^0 = ?

1

300

x²x⁵y⁰

x⁷

400

(x²)^-1

1/x²

500

a^(-5)

1/a⁵

Quotient of Powers and Power of a Quotient

100

(a^m)/(a^n) = ?

a^(m-n)

200

(y⁶)/(y³)

y³

300

(x¹⁰/(x³) = ?

x⁷

400

(x²⁴/(x²³) = ?

x

500

(x4/(x⁹)

1/(x⁵)

Product of Powers and Power of a Product

100

(a²)(a⁵ )= ?

a^7

200

(a)(a³) = ?

a^4

300

(ab³)⁴= ?

(a^4)(b^12)

400

(x⁷y⁴)⁷

(x^49)(y^28)

500

(a⁶)(b⁴) = ?

(a⁶)(b⁴)

Power of a Power

100

(a^m)^n = ?

a^mn

200

(x³)⁶

x^18

300

(b⁷)⁷

b^49

400

(y³)¹¹

y^33

500

(b⁹)¹⁰

b^90