We are given the expression:

$\frac{4.53 \times 10^{-9}}{7.5 \times 10^{-8}}$

Let's break it down step by step:

Step 1: Divide the coefficients

$\frac{4.53}{7.5} = 0.604$

Step 2: Divide the powers of 10

Using the rule of exponents $\frac{a^m}{a^n} = a^{m-n}$: $\frac{10^{-9}}{10^{-8}} = 10^{-9 - (-8)} = 10^{-1}$

Step 3: Combine the results

Now, multiplying the results from the two steps: $0.604 \times 10^{-1} = 6.04 \times 10^{-2}$

Thus, the answer in standard form is:

$6.04 \times 10^{-2}$

Would you like further details on any step?

Here are five related questions to deepen your understanding:

1. How would you divide numbers in standard form with negative exponents?
2. Can you multiply numbers in standard form and compare the process?
3. What happens if you divide two numbers with the same power of 10?
4. How can you simplify expressions involving scientific notation?
5. How does changing the coefficient affect the result in standard form?

Tip: Always remember that when dividing powers of 10, you subtract the exponents.