The text makes no reference to Jesus either going to Hades or Tartarus but rather "prison".
Scripture does say Hades actually:
Act 2:25 For David speaketh concerning him, I foresaw the Lord always before my face, for he is on my right hand, that I should not be moved:
Act 2:26 Therefore did my heart rejoice, and my tongue was glad; moreover also my flesh shall rest in hope:
Act 2:27 Because thou wilt not leave my soul in hell, neither wilt thou suffer thine Holy One to see corruption.
Act 2:28 Thou hast made known to me the ways of life; thou shalt make me full of joy with thy countenance.
Act 2:29 Men and brethren, let me freely speak unto you of the patriarch David, that he is both dead and buried, and his sepulchre is with us unto this day.
Act 2:30 Therefore being a prophet, and knowing that God had sworn with an oath to him, that of the fruit of his loins, according to the flesh, he would raise up Christ to sit on his throne;
Act 2:31 He seeing this before spake of the resurrection of Christ, that
his soul was not left in hell (hades), neither his flesh did see corruption.
Act 2:32 This Jesus hath God raised up, whereof we all are witnesses.
Proof Jesus' soul was in Hades the same place Peter spoke of.
Eph 4:5 One Lord, one faith, one baptism,
Eph 4:6 One God and Father of all, who is above all, and through all, and in you all.
Eph 4:7 But unto every one of us is given grace according to the measure of the gift of Christ.
Eph 4:8 Wherefore he saith, When he ascended up on high, he led captivity captive, and gave gifts unto men.
Eph 4:9 (Now that he ascended, what is it but that
he also descended first into the lower parts of the earth?
Eph 4:10 He that descended is the same also that ascended up far above all heavens, that he might fill all things.)
Hades is said to exist "downward" implying it's somewhere in the Earth, in a spiritual dimension of course, 2Pe_2:4, Luk_10:15, Eze_31:16, Isa_14:15.