Would the power of the batteries effect the quality of the picture?

For example my brother has given me a camers to try and but if i like it, it take 2x AAA batteries but when i turn it on i get the same "battery low" icon from new ones!

I did manage to squeeze one pic out of it but it was very blurred and i didnt move when i took the pic, what i dont want to do is go and buy a pack of rechargabke high power AAA's just to find it does the same and also waste £10+