For questions that require you to enter a numerical answer, provide an answer to the nearest hundredth decimal place $($for example, $7\mathrm{.}80$ or $19\mathrm{.}53),$ UNLESS directed otherwise.A compound microscope has a distance D between lenses and an ocular $($eyepiece$)$ with a focal length feye. The magnitude of the total magnification of the microscope is M$.$ The user has a near point distance of N$.$ If the near point distance N$=20\mathrm{.}17$ cm$,$ the eyepiece focal length feye$=6\mathrm{.}91$ mm$,$ the distance between the lenses D$=20\mathrm{.}55$ cm$,$ and the total magnification of the microscope M$=415,$ what is the absolute value of the power of the objective lens?

Enter your answer in units of diopters, inverse meters.$$ For example, if your calculations produce a value of $12\mathrm{.}3$ m$-1,$ enter your answer as $12\mathrm{.}3.$