How to do dimensional analysis?

Imaginary

New member
No matter what, I can't understand how to do these correctly. Google wasn't much help either. >.>

By this I dimensional analysis, I mean changing units from the prefix scale.. (like cg to ng, etc) using the two-step/aka shortcut way with fractions.

Here is an example we got in class: (there should be a times symbol between the first three)
http://i56.tinypic.com/e1f1us.jpg

The prefix scale is (all 1 x 10^#): Tera (12), Giga (9), Mega (6), Kilo (3), Hekto (2), Deka (1), base unit (grams, meters, liters, seconds), deci (-1), centi (-2), mili (-3), micro (-6), nano (-9), pico (-12)

What I don't get is how to know which numbers to put in the equation after setting it up (like the g/cg part up there). ..and then it just gets worse when the things being converted are even further away.

I'd appreciate any help! x

PS- we have to do it that way.
 
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