a^(m+n)
The expression a^(m+n) represents an exponentiation where the base a is raised to the power of the sum of two integers, m and n . This means that you multiply the base a by itself a total of m+n times. For example, if a = 2 , m = 3 , and n = 2 , then 2^(3+2) = 2^5 = 32 .
This property of exponents is part of the laws of exponents, which include rules like the product of powers and the power of a power. Specifically, the rule states that a^(m+n) = a^m \cdot a^n . This means you can break down the exponentiation into two separate parts, making calculations easier in many mathematical contexts, such as algebra and calculus.