Let's solve the given expression step by step:

\[
\frac{(10^7 \div 10^2) + (10^3 \div 10^{-2})}{10^5}
\]

### Step 1: Simplify the divisions inside the parentheses
1. \( 10^7 \div 10^2 = 10^{7-2} = 10^5 \)
2. \( 10^3 \div 10^{-2} = 10^{3 - (-2)} = 10^{3+2} = 10^5 \)

Now the expression becomes:

\[
\frac{10^5 + 10^5}{10^5}
\]

### Step 2: Simplify the numerator
\[
10^5 + 10^5 = 2 \times 10^5
\]

### Step 3: Simplify the overall expression
\[
\frac{2 \times 10^5}{10^5} = 2
\]

So, the value of the given expression is:

\[
\boxed{2}
\]

Do you want more details on any part of the solution, or do you have any questions?

Here are 5 related questions for further practice:
1. Simplify: \( \frac{10^6 \div 10^2 + 10^4 \div 10^{-1}}{10^3} \)
2. Calculate: \( (10^5 \times 10^2) \div (10^3 \times 10^2) \)
3. Simplify: \( \frac{(5 \times 10^8) + (3 \times 10^8)}{10^7} \)
4. Evaluate: \( 10^4 \div (10^2 \times 10^{-3}) \)
5. Solve for \( x \): \( \frac{10^x}{10^3} = 1000 \)

**Tip:** When dividing powers of 10, you can subtract the exponents. Similarly, when multiplying powers of 10, you add the exponents.

The query submitted by the user: (10^7 ÷ 10^2) + (10^3 ÷ 10^-2) ÷ 10^5

Discover how to simplify the expression (10^7 ÷ 10^2) + (10^3 ÷ 10^-2) ÷ 10^5 with step-by-step guidance. This problem focuses on the properties of exponents, division of powers of 10, and simplifying expressions. Ideal for students in Grades 9-10.

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