Here's how to calculate 7.35 x 10³ divided by 5.2 x 10⁷ using scientific notation and the quotient rule:

1. Quotient Rule:

* When dividing numbers in scientific notation, divide the coefficients and subtract the exponents of the base (in this case, 10).

2. Calculation:

* Coefficients: 7.35 / 5.2 = 1.41346... (approximately)

* Exponents: 10³ / 10⁷ = 10⁻⁴ (subtract the exponents)

3. Combine the Results:

* 1.41346... x 10⁻⁴

4. Express in Proper Scientific Notation:

* Adjust the coefficient: Since the coefficient is greater than 10, move the decimal one place to the left and increase the exponent by one.

* Final Answer: 1.41346... x 10⁻⁴ becomes 1.41 x 10⁻⁴ (rounded to two decimal places).