Evaluate the Expression: 2² × 1¹⁰ + 3

To solve the expression, we need to follow the order of operations, often remembered by the acronym PEMDAS, which stands for Parentheses, Exponents, Multiplication and Division (left-to-right), Addition and Subtraction (left-to-right).

• Step 1: Handle the exponentiation in the expression.
  The exponentiation operation is on the number 2, so we compute $2^2$ which is equal to 4.
• Step 2: Handle the multiplication.
  We multiply the result of the exponentiation by the number following it. Therefore, we have $4 \times 1^{10}$. Since $1^{10} = 1$, the expression becomes $4 \times 1 = 4$.
• Step 3: Handle the operations on either side of multiplication.
  Before evaluating, it's essential to note that the original expression is slightly misunderstood due to potential formatting errors. Let's assume it was meant to use division as $0 \div 2^2$ due to the notation $0:2^2$. Therefore, calculate $0 \div 4$ which is equal to 0.
• Step 4: Handle the addition.
  Finally, we add 3 to the result of the division: $0 + 3 = 3$.

Thus, the final answer is 3.