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This lecture explains how to calculate the resolution power based on the definition provided in class, which involves the wavelength divided by the smallest perceivable wavelength in a given system. The instructor guides through a specific example where a difference between 589 nanometers and 589.6 nanometers needs to be resolved at the third order. By applying the formula for resolution power, the correct answer is found to be 327.2, considering that only whole numbers can be resolved in the system.