Product Rule
aᵐ · aⁿ = aᵐ⁺ⁿ
SAME BASE → ADD exponents
Quotient Rule
aᵐ ÷ aⁿ = aᵐ⁻ⁿ
SAME BASE DIVIDE → SUBTRACT
Power Rule
(aᵐ)ⁿ = aᵐⁿ
POWER of POWER → MULTIPLY
Zero Exponent
a⁰ = 1 (a ≠ 0)
ANYTHING to zero = ONE
Negative Exponent
a⁻ⁿ = 1/aⁿ
NEGATIVE → FLIP to fraction
Product Power
(ab)ⁿ = aⁿbⁿ
DISTRIBUTE power to EACH factor
Quotient Power
(a/b)ⁿ = aⁿ/bⁿ
DISTRIBUTE to TOP and BOTTOM
Rational Exponent
a1/n = ⁿ√a
FRACTION exponent = ROOT