Below be dragons, please gather armor and basic computing knowledge before preceding </ubergeek>. Working adb AND fastboot are requires, support for adb and fastboot are NOT offered by me. If you question is related to OSX or Linux I may be able to help. If it is windows related, don't get pissed when I tell you "I have no idea", it is the truth.
This is at your own risk! Do not blame me if something goes wrong!
For 6.2, 6.2.1 and 6.2.2 please see BurritoRoot3 -> http://rootzwiki.com/topic/13027-roo...-root-edition/
While I have another root exploit, Amazon neglected pokey's far more beautiful one this update, and we have no good reason to blow another root for this update, so isntead here is a guide using fbmode.
Full credits for this goes to pokey9000 (see http://forum.xda-developers.com/show....php?t=1414832). This guide requires you to have adb and fastboot working FOR THE KINDLE FIRE, on whatever os you are on.
fbmode.zip - http://forum.xda-developers.com/show....php?t=1414832
twrp2 - http://teamw.in/project/twrp2/79
su - http://dl.dropbox.com/u/8699733/kindlefire/su
fastboot + adb for your OS of choice.
adb push fbmode /data/local/fbmode
adb shell chmod 755 /data/local/fbmode
adb shell /data/local/fbmode
Your kindle will "get stuck" on the kindle fire screen, but really it's just in fastboot mode.
fastboot -i 0x1949 flash bootloader <name of firefirefire image here>
fastboot -i 0x1949 flash recovery <name of recovery image here>
Your device will now boot into twrp recovery, and flash the firefirefire bootlaoder. When done it will prompt you to reboot. Upon reboot you will get stuck on the "yellow triangle" screen of firefire fire.
fastboot oem idme bootmode 5002
Once in recovery
adb shell mount system
adb push su /system/xbin/su
adb shell chown 0.0 /system/xbin/su
adb shell chmod 06755 /system/xbin/su
Lets disable the root check before rebooting
adb shell mv /system/bin/check_rooted /system/bin/check_rooted.bak
adb shell idme bootmode 4000
Once booted into Android, install superuser
adb install Superuser.apk