Linked Power + Synchronicity + Metapower (both), from Level 1: Manifest Synchronicity as normal, giving an easy-to-activate command, link it to an augmentable power. Since the net cost of Synchronicity is -1, you get an extra power point of augmentation possible out of the linked power, since its only the total of the two power which are limited by your level (-1 + 1 = 0, can augment 1 more to 1 at 1st level). You still get your standard action when you activate it. Manifesting a level 1 power in this manner is free if you don't augment it, and have the psionic focus to spend. Works great at 1st level with Vigor and any of the AC buffs.
Linked Power + Linked Power + Synchronicity + Metapower (only possible with an extra focus; psicrystal affinity and psicrystal containment), level 3 (human), 5 (pure psion), or 6 (non-pure psion): Weirdly, psionics allow the same metapsionic feat to be used on the same power more than once, so you get the same thing as above but with a net -3 cost, allowing up to 3 more power points spent towards augmentation.
Linked Power + long manifesting time powers: The power that goes off the following round "just goes off", not requiring the full manifestation time. Expect a DM to nerf it as soon as you try this.
Linked Power + expensive XP powers: Again, it never mentions paying the cost of these components. Again, expect a DM to nerf it ASAP.