a×b2

The expression "a×b²" represents a mathematical operation involving two variables, 'a' and 'b'. In this expression, 'b' is first squared, meaning it is multiplied by itself (b × b), and then the result of this squaring operation is multiplied by 'a'. This is a common algebraic expression encountered in various mathematical contexts, including algebra, calculus, and physics.

The order of operations is crucial when evaluating "a×b²". According to the standard mathematical conventions, exponentiation (squaring in this case) takes precedence over multiplication. Therefore, 'b²' is calculated first, and then the product with 'a' is determined. For example, if a = 2 and b = 3, then a×b² would be calculated as 2 × (3²) = 2 × 9 = 18.

This expression can appear in formulas and equations. For instance, it might represent the area of a rectangle where one side is 'a' and the other is 'b²', or it could be a term within a more complex polynomial. The specific meaning and application of "a×b²" are dependent on the broader context in which it is used. Understanding the order of operations is fundamental to correctly interpreting and manipulating such algebraic expressions.