Properties of Exponents

Name that Property

100

a⁰=1

What is the Zero Exponent Rule?

200

a^maⁿ = a^m+n

What is the product rule?

300

a^-n=1/aⁿ

What is the Negative Exponent rule?

400

a^m/aⁿ = a^m-n

What is the Quotient rule?

500

(a^m)ⁿ = a^mn

What is the Power Rule?

Negative and Zero Exponents

100

4⁰ = ?

1

200

-18(4,783,312,901)⁰ = ?

-18

300

(x⁵y^-7)⁰

1

400

(x³)^-1

1/(x³)

500

1/a^-5

a⁵

Quotient Rule

100

(a^m)/(aⁿ) = ?

a^m-n

200

y⁶/y³

y³

300

x¹⁰/x³ = ?

x⁷

400

x²⁴/x²³ = ?

x

500

x⁴/x⁹

1/x⁵

Product Rule

100

a²a⁵ = ?

a⁷

200

a²a² = ?

a⁴

300

ab⁴a^-3 = ?

b⁴/a²

400

x⁷y⁴x^-3y⁷=?

x⁴y¹¹

500

ab^-9a³b⁴b⁵ = ?

a⁴

Power Rule

100

(a³)² = ?

a⁶

200

(x³y⁴)²

x⁶y⁸

300

(b⁵a³b^-1)⁴

a¹²b¹⁶

400

(y^-3)^-11

y³³

500

(ab^-3)⁵

a⁵/b¹⁵