The first thermonuclear weapon (or H-bomb) test was successfully completed in 1952. That is, a nuclear bomb that uses a fission reaction to create the conditions for a more pworful fusion reaction, which is either the final step, or is used to power an additional fission step, amplifying the final explosion many times more.
The NIF experiment explained here, which uses a laser to generate X rays by heating the walls of a heavy metal hohlraum, and then uses these X-rays inside the hohlraum to compress a pellet of gas to ignite a fusion reaction is very similar to the conditions inside an H-bomb, which also generates X-rays (via a fission reaction) to compress and ignite a fusion reaction.
The weapons use is relatively simple - fusion reactions expel much more energy than fission reactions, and using the power of a fission reaction to compress and to ignite a fusion reaction inside a large amount of gas expels much more energy than simply exploding the power of the fission reaction outwards.