Because they don't have people.
In 2013, the UAE's total population was 9.2 million, of which 1.4 million are Emirati citizens and 7.8 million are expatriates.
Their armed forces are mostly comprised of Pakistani ex military. IIRC, fighting arm of UAE Army stands about 2 Div. I don't think that UAE can afford to send even a brigade to Yemen. Pakistan, OTOH has one of the largest standing army in the world.
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