Let's solve the equation in scientific notation.

The expression is:

$\frac{1.15 \times 10^{-3}}{5.0 \times 10^{-7}}$

Step 1: Divide the coefficients

$\frac{1.15}{5.0} = 0.23$

Step 2: Subtract the exponents

For the powers of 10, when dividing, we subtract the exponents: $10^{-3} \div 10^{-7} = 10^{-3 - (-7)} = 10^{4}$

Step 3: Combine the result

Now combine the results: $0.23 \times 10^{4}$

Since $0.23$ is not in proper scientific notation (the coefficient should be between 1 and 10), we need to adjust it: $0.23 \times 10^{4} = 2.3 \times 10^{3}$

So, the answer is: $2.3 \times 10^{3}$

The blanks should be filled as: $2.3 \times 10^{3}$

Would you like more details or have any questions?

Here are 5 related questions:

1. How do you multiply numbers in scientific notation?
2. How do you handle negative exponents in division problems?
3. Can you convert any number into scientific notation?
4. What are the rules for expressing results in proper scientific notation?
5. What happens if you subtract exponents with the same base?

Tip: Always make sure the coefficient in scientific notation is between 1 and 10 for the final answer!