~られる / ~える (potential form)

To make the potential form of an Ichidan verb, simply add ~られる to the verb base. To make the potential form of a Godan verb, use the "e" formative plus ~る. For polite potential form take the informal potential form, drop the final ~る and add ~ます:

Ichidan - Vowel Stem Verbs
見る [miru] 見られる* [mirareru] 見られます* [miraremasu]
出る [deru] 出られる [derareru] 出られます [deraremasu]
Godan - Consonant Stem Verbs
話す [hanasu] 話せる [hanaseru] 話せます [hanasemasu]
飛ぶ [tobu] 飛べる [toberu] 飛べます [tobemasu]
読む [yomu] 読める [yomeru] 読めます [yomemasu]
死ぬ [shinu] 死ねる [shineru] 死ねます [shinemasu]
聞く [kiku] 聞ける* [kikeru] 聞けます* [kikemasu]
泳ぐ [oyogu] 泳げる [oyogeru] 泳げます [oyogemasu]
待つ [matsu] 待てる [materu] 待てます [matemasu]
習う [narau] 習える [naraeru] 習えます [naraemasu]
座る [suwaru] 座れる [suwareru] 座れます [suwaremasu]
Henkaku - Irregular Verbs
する [suru] 出来る [dekiru] 出来ます [dekimasu]
来る [kuru] 来られる [korareru] 来られます [koraremasu]
行く [iku] 行ける [ikeru] 行けます [ikemasu]
見る and 聞く have two potential forms: 見られる・見える and 聞ける・聞こえる

見られる and 聞ける are used when a condition must be met by the viewer/listener:

  1. まどけると富士山をられる。 If you open the window you can see Mt. Fuji.
  2. スピーカーをしゅうして、おとけた。 I fixed the speaker, so I could hear sound.

見える and 聞こえる are used when no conditions required of the viewer/listener:

  1. れるとさんえる。 On a clear day you can see Mount Fuji.
  2. となりのからおとこえた。 I could hear the sound from the next room.

The verb 分かる does not have a potential form as such. 分かれる means to divide, it's never used as the potential form of 分かる. Instead the phrase 理解できる would be a reasonable substitute.

  1. じんせいかる? Do you understand the meaning of life?
  2. そんなことがかいできないだろう! Surely such a thing can't be understood!

Potential form is only used on transitive verbs (verbs that act on a direct object). When using potential form the object particle traditionally changes from を to が. However using を with potential form, while considered non-standard is also widely used and emphasises the act rather than the object being acted upon. Alternatively the standard but more formal ~事が出来る construction also emphasises the act.

  1. ほんはなせますか? Can you speak Japanese? (standard - emphasis on object)
  2. ほんはなせますか? Can you speak Japanese? (not standard - emphasis on act)
  3. ほんはなことができますか? Can you speak Japanese? (standard - emphasis on act)