Identify the correct value of the given arithmetic expression in Python from…

Concept

Python evaluates an expression by operator precedence before it applies the remaining operations.

Exponentiation (** ) has higher precedence and is right-associative; floor division (//) and multiplication (*) share a lower precedence and are evaluated from left to right.

Application

1. Evaluate the inner exponent: 2 ** 3 = 8.

2. Apply the outer exponent: 2 ** 8 = 256.

3. Evaluate floor division: 100 // 3 = 33, because // keeps the integer floor of 33.333... .

4. Continue left to right at the same precedence: 33 * 3 = 99.

5. Add the two terms: 256 + 99 = 355.

Cross-check

A direct Python interpreter evaluation gives the same value:

2 ** (2 ** 3) + 100 // 3 * 3
# 355

Therefore, the value of the expression is 355.