What is a set of rules for evaluating an expression involving more than one operation?

Answer 1

• First evaluate all powers. Then evaluate multiplications and divisions, from left to right. Then evaluate additions and subtractions, also from left to right.
• Parentheses change the order of operations: you must evaluate anything in parentheses first, before combining it with anything outside the parentheses. Within the parentheses, the first rule also applies (first evaluate powers... etc.).
• Parentheses can be implied in some cases. For example, in fractions, you have to evaluate the numerator and the denominator separately, before carrying out the division of numerator / denominator. Also, in the case of powers, e.g. 25+3, the exponent has to be evaluated before the power. In the example, you add 5+3 before calculating the power.