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Simplify the expression using the order of operations.

8+2×4^2 = 8+2 x
= 8+2×
= 8+
=

1 answer

To simplify the expression \( 8 + 2 \times 4^2 \), we will follow the order of operations (often remembered by the acronym PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

  1. Calculate the exponent: \[ 4^2 = 16 \]

  2. Substitute back into the expression: \[ 8 + 2 \times 16 \]

  3. Perform the multiplication: \[ 2 \times 16 = 32 \]

  4. Substitute back into the expression: \[ 8 + 32 \]

  5. Perform the addition: \[ 8 + 32 = 40 \]

Thus, the simplified expression is: \[ \boxed{40} \]