The expression (a^m)^n represents a power raised to another power in mathematics. According to the laws of exponents, this can be simplified by multiplying the exponents together. Thus, (a^m)^n simplifies to a^m \cdot n. This rule helps in simplifying complex expressions involving powers. In this context, a is the base, while m and n are the exponents. The base a can be any real number, and the exponents m and n can be integers, fractions, or even negative numbers. Understanding this concept is essential in algebra and higher-level mathematics.