Question

what is the first step to simplify this expression?

(4^2 + 6 \times 3)

• add (4^2 + 6)
• multiply (6 \times 3)
• calculate the exponent (4^2)
• add (6 \times 3 + 4^2)

Explanation:

Identify the operations in the expression

Using the Order of Operations knowledge point

$$ 4^2 + 6 \times 3 $$

The expression contains three distinct components:

• An exponent: \(4^2\)
• Addition: \(+\)
• Multiplication: \(\times\)

Apply the order of operations hierarchy

Using the Order of Operations knowledge point
According to PEMDAS/GEMS rules:

1. Grouping symbols (Parentheses)
2. Exponents
3. Multiplication and Division (from left to right)
4. Addition and Subtraction (from left to right)

Therefore, evaluating the exponent \(4^2\) must be performed first.

Answer:

• Add \(4^2 + 6\)
• Multiply \(6 \times 3\)
• Calculate the exponent \(4^2\) (Correct answer)
• Add \(6 \times 3 + 4^2\)