Male/Female

When asking how are you, in the form आप कैसे हौ, गे, is it necessary to change the 'how' to feminine if speaking to a woman?  Also, similar question for responding very well.  Would a woman repsond bahut achhi or just bahut accha?

Hi Sandra,
Yes, आप कैसे हैं ? How are you? speaking to a man.
आप कैसी हैं? How are you? speaking to a woman. 

Answer to your second question is yes.
मैं बहूत अच्छा हूँ - I am very well (male) or  बहूत अच्छा
मैं बहूत अच्छी हूँ - I am very well (female) or बहूत अच्छी

Gender is very important in Hindi. You would sound very odd if you used the wrong gender. Oh and by the way John, you spelled "bahut" wrong. It is spelled as बहुत instead of बहूत.  

Hi Deven,

Thank you for the correction. Yes, it was my mistake. It was a short u, but I typed a long uu.