Final answer:
The quotient of 7.584 × 10⁶ and 7.9 × 10² expressed in scientific notation is approximately 9.605 × 10³.
Step-by-step explanation:
To find the quotient of 7.584 × 10⁶ and 7.9 × 10² expressed in scientific notation, we divide the two numbers. First, we divide the coefficients (7.584/7.9). Then, we subtract the exponents of 10 (6 - 2) since it is a division of powers with the same base. Let's carry out the calculation step-by-step
Divide the coefficients: 7.584 ÷ 7.9 ≈ 0.9605063291.
Adjust the coefficient to proper scientific notation: Since 0.9605063291 is not in proper scientific notation, we move the decimal point one place to the right to make it 9.605063291 and adjust the exponent by one to compensate, making it 10⁴ ÷ 10 = 10³.
The final answer in scientific notation is 9.605 × 10³, as we generally round off to three decimal places.