Simplify the expression using the order of operations.

3×4^2 9×2
= 3×–9×2
= 3×. ×2
= ×2
=

1 answer

Let's simplify the expression step by step, following the order of operations.

  1. Start with the original expression: \( 3 \times 4^2 - 9 \times 2 \).

  2. Evaluate the exponent: \( 4^2 = 16 \). So, the expression becomes: \( 3 \times 16 - 9 \times 2 \).

  3. Perform the multiplications:

    • \( 3 \times 16 = 48 \)
    • \( 9 \times 2 = 18 \)

    Now, we have: \( 48 - 18 \).

  4. Finally, subtract: \( 48 - 18 = 30 \).

So the final simplified result is: \[ \boxed{30} \]