Let's break down and solve the expression step by step.

The expression provided is:

$3^3 \times 5^0 - 4^2 \div 4 \times (3 + 6 \times 0)$

Step 1: Solve the exponentiation

• $3^3 = 27$
• $5^0 = 1$ (any number raised to the power of 0 is 1)
• $4^2 = 16$

So the expression becomes:

$27 \times 1 - 16 \div 4 \times (3 + 6 \times 0)$

Step 2: Simplify inside the parentheses

• $6 \times 0 = 0$
• $3 + 0 = 3$

Now the expression is:

$27 \times 1 - 16 \div 4 \times 3$

Step 3: Perform multiplication and division from left to right

• $27 \times 1 = 27$
• $16 \div 4 = 4$
• $4 \times 3 = 12$

Now the expression simplifies to:

$27 - 12$

Step 4: Perform the final subtraction

$27 - 12 = 15$

However, the options provided (41, 35, 5, 36) do not include 15, which means there might be a mistake in the calculation or the interpretation of the expression. Let me review the steps.

Upon reviewing, I made an error in interpreting the image. The correct way should be:

Review and Recalculate

The expression likely was intended to be:

$3^3 \times 5^0 - \frac{4^2}{4} \times (3 + 6 \times 0)$

Breaking it down again:

1. $3^3 = 27$
2. $5^0 = 1$
3. $4^2 = 16$
4. $16 \div 4 = 4$
5. Inside the parentheses: $6 \times 0 = 0$ and $3 + 0 = 3$

So the expression is:

$27 \times 1 - 4 \times 3 = 27 - 12 = 15$

Conclusion

After reviewing, it seems the closest calculation could have been mistaken or misread as another option. Based on the correct math, 15 should have been an answer choice, but it wasn't. The answer might have been mistakenly calculated or rounded in the problem.

Would you like further details on any specific step or see if there was an interpretation issue? If so, let me know!

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Here are some related questions to further explore:

1. How do you handle operations involving parentheses and different order operations?
2. What does it mean to simplify an expression?
3. How can understanding exponents simplify complex calculations?
4. What is the significance of the order of operations in mathematical expressions?
5. How would the answer change if any of the initial values were different?

Tip: Always double-check your calculations, especially with complex expressions that involve multiple operations!