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The problem asks to multiply \((1 \times 10^5)\) by \((5 \times 10^5)\) and provide the answer in scientific notation.

### Solution:
1. Multiply the coefficients:
   \[
   1 \times 5 = 5
   \]

2. Add the exponents of 10:
   \[
   10^5 \times 10^5 = 10^{5+5} = 10^{10}
   \]

3. Combine the results:
   \[
   5 \times 10^{10}
   \]

Thus, the answer in scientific notation is \(5 \times 10^{10}\).

Would you like a more detailed explanation or any additional help?

### Related Questions:
1. How do you multiply numbers in scientific notation?
2. How do exponents behave during multiplication?
3. What are the rules for scientific notation?
4. How do you convert between standard form and scientific notation?
5. What is the purpose of scientific notation in real-world applications?

### Tip:
When multiplying numbers in scientific notation, always multiply the coefficients and then add the exponents of 10!

Multiply. Write your answer in scientific notation. (1 x 10^5)(5 x 10^5)

This guide explains how to multiply numbers in scientific notation, specifically (1 x 10^5)(5 x 10^5), resulting in 5 x 10^10. Learn the steps of coefficient multiplication and exponent addition, suitable for high school students.

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