Question 168208
Rational exponents: 
a^(-1/2) / 6a^(1/3) x a^(1/4)

= 6a(1/3 - 1/2) x a^(1/4)

= 6a(-1/6) x a(1/4)

= 6a(-1/6 + 1/4)

= 6a^(2/24)

= 6a^(1/12)
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Cheers,
Stan H.