What is a regular expression for $L_1=\{a^{2n} b^{3m+1} \mid n \geq 1, m \geq 0\}$?
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1What have you tried? Where did you get stuck? We're not here to do your homework. – Yuval Filmus Apr 11 '16 at 06:48
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I tried. My answer is a(aa)b(bbb) – Jake Apr 11 '16 at 07:50
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That's almost correct (the powers of $a$ are a bit off). Next time have more faith in yourself. – Yuval Filmus Apr 11 '16 at 07:51
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Hint: Write $L_1$ as a concatenation of two languages: $\{ a^{2n} \mid n \geq 1\}$ and $\{b^{3m+1} \mid m \geq 0\}$.

Yuval Filmus
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