1 Corinthians 14:34 says, "Let your women keep silence in the churches: for it is not permitted unto them to speak; but they are commanded to be under obedience, as also saith the law." (1 Corinthians 14:34) If we are not under the law, why is Paul making reference and directing the Corinthian's attention to the law?
Paul is certainly not putting Christians back under the law, but rather under the timeless principles of God's word, on which the Old Testament laws were based. From the Fall of man in Genesis 3:16 the woman was not to take the leadership rule over the man. "Unto the woman he said, I will greatly multiply thy sorrow and thy conception; in sorrow thou shalt bring forth children; and thy desire shall be to thy husband, and he shall rule over thee." (Genesis 3:16) The word "rule" means to have dominion, to govern, have power. Thus the man was given the leadership responsibility.
The Law was given to Moses in about 2500 years after the Fall. Therefore the principle of the woman being in subjection to the leadership of the man was established by God in the beginning.
The Old Testament Law reflected this principle and in Paul's writing to the churches the principle was reiterated to establish the conduct of women as to leadership. Some have tried to cloud Paul's statements in 1 Corinthians 14:34-35, but there is no ambiguity in his statements or any room to lessen the full application of his instructions. In Chapters 12-13 Paul dealt with the misuse of tongues and prophecy and in his statement of Chapter 14 he is stating that in these matters woman were to have no part but remain silent. If they had a question there were to ask their husbands at home.
The principle that God established is timeless and is that man is hold the position of leadership and women are not to rule or as Paul stated, "But I suffer not a woman to teach, nor to usurp authority over the man, but to be in silence." (1 Timothy 2:12) They principle is the woman is not to usurp authority over a man.
This refutes the modern day practice of woman in positions of leadership over men in churches and woman being preachers. It does not mean that women cannot teach other women or children.
However there are also other usages of the word law that apply to everyone:
(2) Law of civil government (Dan. 6:8).
(3) Law of nature (Rom. 2:14-15), referring to the knowledge of right and wrong which God has put in the conscience of man. These laws are how the universe works for example the law of gravity.
(4) Law of Christ (John. 13:34-35; 15:12), referring to Christ's command that His disciples love one another.
(5) Law of liberty (James 1:25), referring to the teachings of the N.T. in regard to the Christian life. It is called "the law of liberty" because while the instruction of the N.T. is a requirement God places before His people, it is a law of liberty because we obey God out of gratitude for His grace.
(6) The Bible as a whole is referred to as "the law" (Psa. 1; 19; 119). The Bible is God's law, or rule, for mankind.
The answer is that the Law of Moses was given to Israel as in instruction civil and spiritual matters. Old Testament was actually there constitution. Also each of the Laws of Moses is based on a principle of God's general laws to all. So though Christian are not required to keep the specific laws God gave Israel, we are to keep the principle that each law was based on. For example God gave Israel specific instructions about tithing which is based on the principle that we should be thankful for God's provision for us and offer a portion back to Him, which He used to carry on His work. In the New Testament Christians are to give a Paul instructed. in 2 Cor. 9:6-9. "But this I say, He which soweth sparingly shall reap also sparingly; and he which soweth bountifully shall reap also bountifully. Every man according as he purposeth in his heart, so let him give; not grudgingly, or of necessity: for God loveth a cheerful giver. And God is able to make all grace abound toward you; that ye, always having all sufficiency in all things, may abound to every good work:" (2 Corinthians 9:6-8) Both the Old and New Testament are based on the God's principles of giving, showing we are thankful and recognize where our substance comes from and on God using us to do His work on earth. (Reference: THE WAY OF LIFE ENCYCLOPEDIA OF THE BIBLE & CHRISTIANITY. http://www.wayoflife.org/publications/biblestudy.html "Law")