Question

which part of the expression will you evaluate first? 3·a 4·b 3+4 b³

Explanation:

Step1: Recall Order of Operations

In mathematics, the order of operations (PEMDAS/BODMAS) dictates that exponents (or powers) are evaluated before multiplication, addition, etc.

Step2: Analyze Each Option

• \(3 \cdot a\): Multiplication, but exponents come first.
• \(4 \cdot b\): Multiplication, lower priority than exponents.
• \(3 + 4\): Addition, lower priority than exponents.
• \(b^3\): This is an exponentiation (power), so it has higher priority in the order of operations.

Answer:

\(b^3\)