My Dear Aunt Sally, used for interpreting mathematical expressions with more than one operation. Let me make it clear immediately that I have no quarrel with Aunt Sally's interpretation of mathematical expressions. You will not find a different interpretation here. From the beginning, they look at all the operations and all the numbers. There is no symbol, as such, for exponentiation.
Exponentiation uses the least space of all the operations.
Note where an order for the operations comes in. You cannot do an operation until you have its numbers. You are going to add 5 to the product, so you must find that product before you can add. The interpretation that results from this graphic approach is identical to Aunt Sally's. We teachers want our students to read the notation.