In Exercises 31–50, 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.(3X10⁴)(2.1X10³)

Scientific notation is a way of expressing numbers that are too large or too small in a compact form. It is written as the product of a number (the coefficient) between 1 and 10 and a power of ten. For example, 3000 can be expressed as 3.0 x 10^3. This notation simplifies calculations and comparisons of very large or very small values.

When multiplying numbers in scientific notation, you multiply the coefficients and add the exponents of the powers of ten. For instance, to multiply (3 x 10^4) and (2.1 x 10^3), you calculate 3 x 2.1 for the coefficients and add 4 and 3 for the exponents, resulting in 6.3 x 10^(4+3) = 6.3 x 10^7.

Rounding in scientific notation involves adjusting the decimal factor to a specified number of decimal places, typically to enhance clarity and precision. In this case, if the coefficient exceeds two decimal places, it should be rounded accordingly. For example, if the result is 6.345 x 10^7, it would be rounded to 6.35 x 10^7 to meet the requirement of two decimal places.