Ahn-Crop Crasher — ruling 1

You can't exert a creature unless an effect allows you to do so. Similar effects that "tap and freeze" a creature (such as that of Decision Paralysis) don't exert that creature.

Ahn-Crop Crasher — ruling 2

If an exerted creature is already untapped during your next untap step (most likely because it had vigilance or an effect untapped it), exert's effect preventing it from untapping expires without having done anything.

Ahn-Crop Crasher — ruling 3

If you gain control of another player's creature until end of turn and exert it, it will untap during that player's untap step.

Ahn-Crop Crasher — ruling 4

If a creature has a targeted triggered ability that triggers when you exert it, you can exert it even if there isn't a legal target for that triggered ability.

Ahn-Crop Crasher — ruling 5

All cards in the Amonkhet set that let you exert a creature let you do so as you declare it as an attacking creature, as do some of the cards in the Hour of Devastation set. You can't do so later in combat, and creatures put onto the battlefield attacking can't be exerted. Any abilities that trigger on exerting an attacking creature will resolve before blockers are declared.

Ahn-Crop Crasher : règles, fonctionnement et interactions (MTG)

Ahn-Crop Crasher is one of those cards players keep asking about. Here is, in plain words, what its official text says, the rulings published by Wizards of the Coast, and the combos players actually run.

Official card text

Haste (This creature can attack and as soon as it comes under your control.) You may exert this creature as it attacks. When you do, target creature can't block this turn. (An exerted creature won't untap during your next untap step.)

How it works : Ahn-Crop Crasher

Original English text — Wizards of the Coast / Scryfall

#1April 18, 2017· Wizards of the Coast
You can't exert a creature unless an effect allows you to do so. Similar effects that "tap and freeze" a creature (such as that of Decision Paralysis) don't exert that creature.
No other card is named in this ruling.
#2April 18, 2017· Wizards of the Coast
If an exerted creature is already untapped during your next untap step (most likely because it had vigilance or an effect untapped it), exert's effect preventing it from untapping expires without having done anything.
No other card is named in this ruling.
#3April 18, 2017· Wizards of the Coast
If you gain control of another player's creature until end of turn and exert it, it will untap during that player's untap step.
No other card is named in this ruling.
#4April 18, 2017· Wizards of the Coast
If a creature has a targeted triggered ability that triggers when you exert it, you can exert it even if there isn't a legal target for that triggered ability.
No other card is named in this ruling.
#5April 18, 2017· Wizards of the Coast
All cards in the Amonkhet set that let you exert a creature let you do so as you declare it as an attacking creature, as do some of the cards in the Hour of Devastation set. You can't do so later in combat, and creatures put onto the battlefield attacking can't be exerted. Any abilities that trigger on exerting an attacking creature will resolve before blockers are declared.
No other card is named in this ruling.