So you treat the as a fraction and not and and together? This is what I did:

Would everything together be

?

Oh yes, you're (almost) correct, I see my mistake.

I assumed:

, but since it's Rate of "energy absorbed per sqm", it would be:

which simplifies to:

(this is what you had)

This further simplifies to:

(Joules per sq. metre per second)

Note that

(I'm guessing you simply forgot the type up the -1 at the end in that post)

A bit of beating around the bush, but I think I can confirm that