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

Given:
\[
36 - (4 - 5)3 + 1 - (5 - 13)
\]

1. **Simplify the expressions inside the parentheses:**
   - \( 4 - 5 = -1 \)
   - \( 5 - 13 = -8 \)

   Now the expression becomes:
   \[
   36 - (-1)3 + 1 - (-8)
   \]

2. **Multiply where necessary:**
   - \( (-1)3 = -3 \)

   Now the expression is:
   \[
   36 - (-3) + 1 - (-8)
   \]

3. **Simplify the double negatives:**
   - \( 36 - (-3) = 36 + 3 = 39 \)
   - \( 1 - (-8) = 1 + 8 = 9 \)

   Now the expression is:
   \[
   39 + 9
   \]

4. **Add the remaining numbers:**
   - \( 39 + 9 = 48 \)

The final answer is:
\[
\boxed{48}
\]

Would you like further details on any part of this solution?

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Here are 5 related questions to expand your understanding:

1. What happens if you change the numbers inside the parentheses?
2. How would the solution differ if there were additional exponents?
3. What is the order of operations used in this problem?
4. How do you handle multiple sets of parentheses in an equation?
5. Can you solve a similar problem with different arithmetic operations?

**Tip:** Always remember to simplify inside parentheses first and carefully handle negative signs, especially when they involve subtraction.

Learn how to solve the arithmetic expression 36 - (4 - 5)3 + 1 - (5 - 13) step-by-step with a detailed solution. This problem involves arithmetic operations, parentheses simplification, and the correct order of operations. Suitable for students in Grades 5-6.

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