When you encounter a mathematical expression that includes both exponents and multiplication (or distribution), you should apply the order of operations, often remembered by the acronym PEMDAS:
- Parentheses
- Exponents
- Multiplication and Division (from left to right)
- Addition and Subtraction (from left to right)
According to the order of operations, you should always handle exponents before distribution. This means that if you have an expression like 2(x + 3)^2, you would first calculate (x + 3)^2 before multiplying by 2. This ensures that you are performing the operations in the correct sequence to arrive at the right answer.
In summary, when faced with both distribution and exponents in an expression, remember to calculate the exponents first, followed by any distribution or multiplication that follows.