Let's solve the expression step by step:

Given Expression:

$(2+3)-5+2^2-(5(4-2^2)-5-6^1)+7-10^{10}-(18\div9)$

Step 1: Simplify inside the parentheses.

• $2 + 3 = 5$
• $2^2 = 4$
• $6^1 = 6$
• $4 - 2^2 = 4 - 4 = 0$
• $5 \times 0 = 0$
• Inside the parentheses: $5(4-2^2)-5-6^1$ simplifies to $0 - 5 - 6 = -11$

So the expression simplifies to: $5 - 5 + 4 - (-11) + 7 - 10^{10} - (18\div9)$

Step 2: Simplify further.

• $5 - 5 = 0$
• $4 - (-11) = 4 + 11 = 15$
• $18 \div 9 = 2$

The expression now is: $0 + 15 + 7 - 10^{10} - 2$

Step 3: Simplify addition and subtraction.

• $15 + 7 = 22$
• $22 - 2 = 20$

So the expression is: $20 - 10^{10}$

Since $10^{10}$ is $10,000,000,000$:

Final Answer:

$20 - 10^{10} = -9,999,999,980$

The simplified result is $-9,999,999,980$.

Would you like more details or have any questions? Here are some related questions you could explore:

1. How do you simplify expressions with multiple exponents?
2. Why is it important to follow the order of operations in complex expressions?
3. How would changing any single operation in this expression affect the result?
4. What strategies can be used to check the accuracy of the solution?
5. Can you provide a real-world scenario where this type of calculation might be applied?

Tip: When dealing with complex expressions, break them down into smaller parts to simplify step by step.