Let ‘A’ be any number

Simple Powers Rules:

RulesExamples
A⁰ = 1
5⁰ = 1
A¹ = A
5¹ = 5
A² = (A x A)
5² = (5 x 5) = 25
A³ = (A x A x A)
5³ = (5 x 5 x 5) = 125
Aⁿ = (A x A x A x A x A…)5ⁿ = (5 x 5 x 5 x 5 x 5…)
1ⁿ = 11⁴ = 1

Complex Rules of Powers:

RulesExamples
Aⁿ x Aª = Aⁿ⁺ª5² x 5³ = (5²⁺³) = 5⁵
Aⁿ ÷ Aª = Aⁿ⁻ª5³ ÷ 5² = (5³⁻²) = 5¹
Aⁿ x Bⁿ = (A x B)ⁿ5³ x 6³ = (5 x 6)³ = (30)³
Aⁿ ÷ Bⁿ = (A ÷ B)ⁿ6³ ÷ 2³ = (6 ÷ 2)³ = (3)³ = 9
(Aⁿ)ª = Aⁿ ˣ ª(5³)² = 5³ ˣ ² = 5⁶ = 15,625
Aⁿ∕ ª = ª√(Aⁿ)5³∕ ⁴ = ⁴√(5³) = ⁴√125
A⁻ⁿ = ¹/(Aⁿ)8⁻² = ¹⁄(8²) = ¹⁄₆₄