Final answer:
The division of 3.2x10⁷ by 4000 is calculated by dividing the significant figures (3.2 / 4 = 0.8) and subtracting the exponents (7 - 3 = 4), giving the final result as 0.8x10⁴ or 8x10³, which is 8000.
Step-by-step explanation:
The question involves performing a division of two numbers where one of them is in scientific notation. Specifically, we want to divide 3.2x10⁷ by 4000. This can be done by first expressing the divisor (4000) in scientific notation as 4x10³. We can then divide the numbers and subtract the exponents:
- Divide the significant figures: 3.2 / 4 = 0.8.
- Subtract the exponents: 7 - 3 = 4.
So, the result of the division 3.2x10⁷ / 4000 is 0.8x10⁴ or 8x10³ in scientific notation, which translates to 8000 in standard form.