わけない

Usually written in kana. Kanji spelling 訳無い

easy; simple; there's no way that ...

Also written 訳ない

Meanings

化石燃料かせきねんりょうは永久えいきゅうに利用りようできるわけない。

Fossil fuels won't be available forever.
そんなこと、分わかるわけないでしょう。

How should I know?
フランス語ごを話はなす彼かれにとってわけないことだ。

It comes natural to him to speak French.
こんなデカイのがチャリの荷台にだいに乗のるわけないだろ。

There's no way one that big is going to go on a bike's luggage rest.
清廉潔白せいれんけっぱくできこえた彼かれが、汚職おしょくなんかに手てを染そめるわけない。

He has a reputation as being straight as an arrow. He'd never get involved in corruption.

More examples (6)

実際じっさいはそんなことあるわけないが、釘くぎを刺さすにはちょうどよさそうだ。

There's no way something like that would really happen, but it seemed just right to drive the point home.
魔王まおうは言いった。「俺おれが負まけるわっきゃねーべ。審判しんぱんは皆みな地獄じごくにいるのだ」。

"How can I lose?" answered Satan. "All the umpires are down here in Hell."
広告こうこくに乗のせられては駄目だめだ。あんなものがそんな値段ねだんで売うれるわけないだろう。

Don't get taken in by their advertising; I don't see how they can sell something like that for that price.
あー言いえば、こーゆー。里さと香かおってばそんなヤツだ。文句もんくの言いい合あいで勝てるわけない。

You say po-tah-to I say po-tay-to. Rika is just that sort of girl. There's no way to win a battle of words with her.
「警察けいさつだ。ちょっと署しょまで来きてもらおうか」「な、なんで？」「こんな街中まちじゅうでドンパチやって罪つみにならないわけないだろうが！！」

"This is the police. Would you mind coming down to the station?" "W-why?" "You can't think it's not a crime to go shooting guns off in the middle of town?!"
私わたしがいたって彼かれがいうこと聞きく訳わけないじゃない。

He never hears what I'm trying to say.