Yes hence the word NUCLEAR WEAPONS
In 1998, Pakistan resumed testing of nuclear weapons. This made India begin to resume testing of their own weaponry.
Doctor Abdul Qadir Khan is the founder of Pakistan nuclear setup. He along with his team made Pakistan a nuclear power in 1998 by testing 5 nuclear bombs in Chaghi Baluchistan.
nuclear testing
Pakistan initialized its nuclear program in early 70s. Zulfiqar Ali Bhutto was the prime minster of Pakistan at that time. Dr. Abdul Qadir Khan was given this task and he made Pakistan a nuclear power by testing 5 nuclear explosions in 1998.
In 1994, Pakistan started testing out their nuclear weapons. Because of this, 'pandemonium' in Indian parliaments had started and caused an uprising.
There is not just one nuclear arms treaty... there are a number of treaties currently in place between the U.S., Russia, and many other countries dealing with nuclear weapons. Some have to do with banning testing (whether above ground, below ground, or in space), some with banning their construction. Other treaties deal with an attempt to keep existing weapons from getting into the hands of other nations ('non-proliferation') and the most encouraging treaties are concerned with significantly reducing the existing nuclear stockpiles to a much smaller number that is easier to maintain, control and monitor.
Government of Pakistan
Short answer: no. One of the treaties in the 1960's banned above ground testing and all countries (the US, Soviet Union, France, and China) have followed that ban. The US and the Soviet Union agreed, in a separate treaty, to stop underground testing in the 1970's and both have followed that treaty. Other countries, India and Pakistan and possibly North Korea, did not agree to ban all testing and have conducted underground nuclear testing in the last ten years.
The US was the first to start testing nuclear weapons
In common usage, yes. Its just a short way of saying it.
testing without nuclear explosion
to test nuclear weapons