Final answer:
To convert 195.162 to exponential form, it should be represented as 1.95162 × 10², where the decimal point has been moved two places to the left.
Step-by-step explanation:
To convert the number 195.162 to exponential form, we need to represent it in scientific notation. Scientific notation is a way of expressing numbers that are too big or too small to be conveniently written in decimal form. It is typically used in science and engineering to simplify calculations and to express large or small numbers more concisely.
The general form of scientific notation is a × 10n, where a is a number greater than or equal to 1 and less than 10, and n is an integer. To convert 195.162 into this form, we shift the decimal point so that we have only one non-zero digit in front of it.
Shifting the decimal point two places to the left, we get 1.95162. Now, to balance this change, we need to multiply the number by 10 raised to the power corresponding to the number of places we moved the decimal point which is 2. Thus, we get:
195.162 = 1.95162 × 102