Th energy associated with the absorption of a photon of wavelength 15.00 micrometers is _________J.

Energy= Plancksconstant*frequency=
=plancksconstant*speed of light/wavelength.

wavelength= 15*10^-6 meters
speed of light= 3*10^8 meters/second
Plancks constant...look it up.

I will be happy to critique your thinking.

is this the answer? after the ________ is a J-what is the J for?

J is the Metric symbol for joules.