https://file.aiquickdraw.com/mathbot/file/1726574619247beo6xonn.jpg

To solve the problem given in the image, we need to calculate the quotient of the two numbers provided, both expressed in scientific notation.

The expression given is:

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

We can separate this into the division of the coefficients and the subtraction of the exponents:

\[
= \frac{4.53}{7.5} \times 10^{-9-(-8)}
\]

\[
= \frac{4.53}{7.5} \times 10^{-1}
\]

Let's calculate \(\frac{4.53}{7.5}\) and multiply the result by \(10^{-1}\) to find the answer in standard form.The calculated value of the expression \((4.53 \times 10^{-9}) \div (7.5 \times 10^{-8})\) is \(0.0604\). To express this in standard form, where the coefficient is a number between 1 and 10, we write:

\[
0.0604 = 6.04 \times 10^{-2}
\]

Therefore, the answer in standard form is \(6.04 \times 10^{-2}\).

Would you like more details on this solution or have any other questions about it? Here are a few additional queries you might find interesting:

1. How would the result change if the numbers in the exponents were different?
2. What happens to the result if you invert the operation, multiplying instead of dividing?
3. Can you solve another example using different numbers in scientific notation?
4. How does manipulating the exponent values affect the final result in terms of magnitude?
5. Why is it important to express such results in standard form?

**Tip:** Always remember to keep the coefficient in standard form between 1 and 10 for clarity and consistency in scientific communication.

Work out the value of (4.53 × 10⁻⁹) ÷ (7.5 × 10⁻⁸). Give your answer in standard form.

Learn how to divide numbers in scientific notation using (4.53 × 10⁻⁹) ÷ (7.5 × 10⁻⁸). The solution involves dividing coefficients and subtracting exponents, providing the answer in standard form: 6.04 × 10⁻².

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