Teddy needs a bit of a break, so, here's something from the old "stuff teddy has memorized" file
No, the one on the right is not a model, it is real size. On the left is a GBU-43/B while on the right is a W54.
The W54 part of the Davy Crockett nuclear system. It is a tactical nuclear weapon. It is a nuke.
The GBU-43/B is also called a MOAB. It is the most powerful non-nuke the US military possesses.
Both these bombs have explosive powers, AKA yields, of around 11tons of TNT.
The nuke in the picture is actually rated "between 10 and 20"
So yes, both bombs are equally powerful.
This is why nations use nukes.
fun fact: the majority of nuclear weapons in the world are tactical nukes - small bombs designed for battlefield use. The massive ICBM "city busters" are 1/3rd of the US nuclear arsenal; 2/3rds of US nukes are small missiles that can be strapped to airplanes for battlefield use.