The New testament uses both forms: zao and zaomai.
The word zao means to live and zaomai is its medium(middle)/passive form.

However I have never seen that anyone would have made any difference between these words, and the both are translated "to live". However, passive forms are usually translated like: "to be made alive".

Romans 8:13, offers a clear contrast between these word forms. St. Paul first uses active form and then medium form:

8:13 εἰ γὰρ κατὰ σάρκα ζῆτε μέλλετε ἀποθνῄσκειν· εἰ δὲ πνεύματι τὰς πράξεις τοῦ σώματος θανατοῦτε ζήσεσθε

<https://www.blueletterbible.org/kjv/rom/8/13/t_conc_1054013>

**Older and more recent ways to express the same thing?**
According to Thayer the active form future is older and medium form is more recent:

<https://www.blueletterbible.org/lexicon/g2198/kjv/tr/0-1/>

However that explanation doesn't fully satisfy me.

However, when I studied this further I noticed that the active future forms are quite rare. They seem to have different meanings as the medium forms but because they are so few, it is not very conclusive, I guess.

<https://www.blueletterbible.org/lang/lexicon/inflections.cfm?strongs=G2198&t=kjv&ot=TR&word=%CE%B6%E1%BD%B5%CF%83%CE%BF%CE%BC%CE%B5%CE%BD>

**Galatians 3:11**
So would for example Galatians 3:11 be translated as "will be made alive" instead of "will live"?

List of occurences of that word in Blueletterbible:

<https://www.blueletterbible.org/lang/lexicon/inflections.cfm?strongs=G2198&t=kjv&ot=TR&word=%CE%B6%E1%BD%B5%CF%83%CE%B5%CF%84%CE%B1%CE%B9>

<https://mail.biblehub.com/greek/2198.htm>