mn×mn

mn×mn refers to a multiplication operation between two numbers, where both numbers are represented by the product of two variables, m and n. In this context, m and n are typically understood to be integers or real numbers, and their product mn represents a single numerical value. The expression mn×mn can be expanded and simplified using the properties of exponents. Specifically, it is equivalent to (mn)² or mn * mn. This simplifies further to m²n². This operation is a fundamental concept in algebra, used to manipulate and solve equations involving variables. For example, if m=2 and n=3, then mn = 6, and mn×mn = 6×6 = 36. Alternatively, using the simplified form, m²n² = 2² * 3² = 4 * 9 = 36. The commutative and associative properties of multiplication allow for this rearrangement and simplification. The term mn×mn is often encountered in algebraic expressions and formulas where quantities are described by the product of two or more factors. It represents the square of a number that is itself the product of two other numbers.