Guild Wars 2

Hi, Im pretty new to the game. As you know a weapon has a certain attack power. For example my bow has 200 attack power, with 12 toughness bonus. This I want to know:
If I wear another bow with for example 180 attack power, and with 12 POWER-bonus instead of toughness bonus, will I hit harder?
So how relevant is a power bonus on a weapon? Can you tell me the amount of Powerbonus I need to hit as hard as with a weapon with no power bonus, but with a higher attack power?

Thanks for help.

First off, lets define some terminology.

Weapons have a Weapon Damage value.
Your character has a Power stat.

The +power you’ll see on weapons increase your power stat. However, even if none of your gear has power, you’ll still have some inherent amount of power from your level (and possibly traits)

Damage dealt is basically Power * Weapon damage.

So, at the end of the day, you want to try and get your power and Weapon Damage approximatly equal. That’s never going to happen, but it’s what you want. Your Power stat is almost always going to be higher than your weapon damage, so as a general rule of thumb, you want weapon damage over more power.

Sources: http://wiki.guildwars2.com/wiki/Damage#Direct_damage

Oke they said:
Damage done = (weapon damage) * Power * (skill-specific coefficient) / (target’s Armor)

So its weapon damage * power. This means I should choose a weapon with 190 weapon damage and 15 power bonus, over a weapon with 200 weapon damage and 0 power bonus to hit harder, unless if I have already have a lot of power bonus, right? Ty for help.