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I think if the problem gives you the same unit throughout, you can keep it as is, but I don't think it'll hurt to convert it to base units. I usually use the most “standard” one or SI base units if there are more than two units involved with the problem so mol instead of mmol or meter instead of millimeter.
Always stay consistent with the units given to you in the problem, but always remember that you may have to convert some units in order to fit into the problem (such as converting milliliters to liters to find molarity.) However if an answer seems too small or too large for a given unit, feel free to convert.
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