What is meant by the saying of Allah the Exalted: "Do not raise your voices in your prayer, nor lower them"?

Question : Shaykh Muhammad, this is a woman asking: What is the ruling on a woman going out to pray the tarawih prayer?

Answer : Is there any harm in a woman going out to the mosques to pray the tarawih prayer? The women used to attend the prayer with the Messenger of Allah (peace and blessings be upon him), and it was not disapproved of them. In fact, he said, "Do not prevent the women of Allah from the mosques of Allah." However, her praying in her home is better, as per the saying of the one who is blessed and peaceful, and because this is further from fitnah (trial, discord or temptation). Unless her praying with the imam is more devout for her, more present in her heart, and further from distraction; in that case, the lesser of the two options may become better than the greater. As for if she goes out to the mosque and neglects her obligatory duties at home, such as looking after her children and the like, she may commit a sin by doing so, because she is neglecting something obligatory upon her by doing something that is not obligatory upon her.
Furthermore, it is required of a woman when she goes out for the tarawih prayer that she not go out wearing perfume or displaying her adornment, that she avoid pushing and shoving with the men, that she not raise her voice in the market or in the mosque, and that she not address the men except out of necessity. And if she addresses them, she should do so with a voice that is not submissive or soft, in accordance with the saying of Allah, Blessed and Exalted is He: meaning, speech that is not indecent. May Allah reward you, Honorable Shaykh, and may He bless you and your knowledge, and benefit people through you.