Mathematical exponent Product rule

Product rule with same base

Aⁿ x A^m = A ^{n + m}

For example,

2² x 2³ = 2²⁺³ = 2⁵ = 2x2x2x2x2 = 32

Product rule with same exponent

Aⁿ x Zⁿ = (A x Z) ⁿ

For example,

2² x 5² = (2x5)² = 10² = 10x10 = 100