Exponent Rules

Exponent 0

a0 = 1

50 = 1

Exponent 1

a1 = a

51 = 5

Negative Exponent

Negative Exponent Rule

Negative Exponent Example

Fractional or Rational Exponent

Rational Exponent Rule

Rational Exponent Example

Negative Fractional Exponent

Negative Fractional Exponent Rule

Negative Fractional Exponent Rule

Product Rule

am · a n = am+n

25 · 22 = 25+2 = 27

Quotient Rule

am : a n = am - n

25 : 22 = 25 - 2 = 23

Power Rule

(am)n=am · 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