In Exercises 87–106, perform the indicated computations. Write the answers in scientific notation. If necessary, round the decimal factor in your scientific notation answer to two decimal places. (8.4×10^8)/(4×10^5)

Scientific notation is a way of expressing numbers that are too large or too small in a compact form. It is written as a product of a number (the coefficient) between 1 and 10, and a power of ten. For example, 4.5 × 10^3 represents 4500. This notation simplifies calculations and comparisons of very large or very small values.

When dividing numbers in scientific notation, you divide the coefficients and subtract the exponents of the powers of ten. For instance, in the expression (a × 10^m) / (b × 10^n), the result is (a/b) × 10^(m-n). This property of exponents is crucial for simplifying expressions and performing calculations efficiently.

Rounding is the process of adjusting a number to a specified degree of accuracy, often to make it simpler or easier to work with. In scientific notation, rounding the decimal factor to two decimal places means keeping only two digits after the decimal point. This is important for maintaining precision while ensuring the answer is presented in a clear and concise manner.