Exponent Rules

Exponent 0

a⁰ = 1

5⁰ = 1

Exponent 1

a¹ = a

5¹ = 5

Negative Exponent

Fractional or Rational Exponent

Negative Fractional Exponent

Product Rule

a^m · a ⁿ = a^m+n

2⁵ · 2² = 2⁵⁺² = 2⁷

Quotient Rule

a^m : a ⁿ = a^{m - n}

2⁵ : 2² = 2^{5 - 2} = 2³

Power Rule

(a^m)ⁿ=a^{m · n}

(2⁵)³ = 2¹⁵ 

Same Exponent

aⁿ · b ⁿ = (a · b) ⁿ

2³ · 4³ = 8³

aⁿ : b ⁿ = (a : b) ⁿ

6³ : 3³ = 2³

Exponents Worksheet