Question

How do you simplify `3^(1/2) * 9^(1/3) / 27^(1/4)`?

Answer 1

The answer is `color(red) (3^(5/12))`.

Explanation:

ATP,
`3^(1/2)*9^(1/3)/27^(1/4)`
=`3^(1/2)*3^(2/3)/3^(3/4)`
=`3^((1/2+2/3-3/4))`
=`3^(5/12)`(`color(green)(ans)`)