Mathematical exponent Power rule

Power rule I

(Aⁿ) ^m = A ^{(n x m)}

For example,

(2³)² = 2^3x2 = 2⁶ = 2x2x2x2x2x2 = 64

Power rule II

A^{n ^ m} = A ^{(n ^ m)}

For example,

2^{3^2} = 2^{(3^2)} = 2^(3x3) = 2⁹ = 2x2x2x2x2x2x2x2x2 = 512

Power rule with radicals

^m√ (Aⁿ) = A ^n/m

For example,

²√ (2⁶) = 2^6/2 = 2³ = 2x2x2 = 8