To solve the expression \(6^2 - 3 \times 2^3\), we can follow the order of operations (PEMDAS/BODMAS: Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).
Calculate the exponentials:
- \(6^2 = 36\)
- \(2^3 = 8\)
Substitute back into the expression: \[ 36 - 3 \times 8 \]
Calculate the multiplication: \[ 3 \times 8 = 24 \]
Now substitute that back into the expression: \[ 36 - 24 \]
Finally, perform the subtraction: \[ 36 - 24 = 12 \]
Therefore, \(6^2 - 3 \times 2^3 = 12\).