Ask Me Help Desk - I must be really stupid!

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i must be really stupid!

hey! I'm abbie I'm new @ this website I've got a test in Algebra II tmrw and my mind is completely blank! I don't remember at all how to do this problem!! Please help?! Simplify the following. 27^√18 ∙ 81^√50

$27^{\sqrt{18}}\cdot{81}^{\sqrt{50}}$

$27^{\sqrt{9\cdot{2}}}\cdot{81}^{\sqrt{25\cdot{2}}}$

$(27^{3})^{\sqrt{2}}\cdot(81^{5})^{sqrt{2}}$

$19683^{\sqrt{2}}\cdot{3486784401^{\sqrt{2}}$

$68630377364883^{\sqrt{2}}$

Is this what you mean?

Cute, I don't recall ever seeing a square root in the exponent before. And judging by the crazy answer I think there's a chance that abbie has written her question incorrectly. Abbie, can you double check it for us?

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