This is a conversion problem (meters to nanometers) so all you do is use the values given to you in the question.
We know that 1 meter = 1*10^9 nanometers, meaning that for every one meter is also 1*10^9 nanometers and vice versa. So we can set up the "train tracks" [ tex] \frac{1*10^9 nanometers}{1 meter} * (1*10^-5 meters) [/tex] I set it up that way because it cancels out the units "meters" since 1 meter is in the denominator and the other meter is in the numerator.
Then I'll be left with: [tex] \frac{1*10^9 nanometers}{1} * (1*10^-5 ) [/tex] Now we can solve as is. [tex] \frac{1*10^9 nanometers}{1} * (1*10^-5) = 10000 nanometers [/tex]