Final answer:
The measurement of 0.000002 m can be written in scientific notation as 2 × 10⁻⁶ m, where the decimal is moved six places to the right.
Step-by-step explanation:
The measurement of cell lengths under a microscope in meters that the student has given, specifically 0.000002 m, needs to be converted into scientific notation. To write this number in scientific notation, we place the decimal after the first non-zero digit and count the number of places the decimal has moved. In this case, the decimal moves six places to the right.
The scientific notation for 0.000002 m is 2 × 10⁻⁶ m. The exponent is negative because the original number is less than one.
In this notation, '2' is the coefficient that represents the significant digits of the measurement, and '10⁻⁶' indicates that the decimal point was moved six places to the left to obtain the original number. A scientist would commonly use this notation when dealing with measurements at the cellular level.