To simplify the expression \(3 \times 4^2 - 9 \times 2\), we will adhere to the order of operations (PEMDAS/BODMAS).
- Calculate the exponent: \(4^2 = 16\)
- Multiply:
- \(3 \times 16 = 48\)
- \(9 \times 2 = 18\)
- Subtract:
- \(48 - 18 = 30\)
Thus, the simplified expression is:
\[ 30 \]