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AL2006

If it was just  3^1/2 , that's another way
that's used to write   √3 .

You could write  3^3/2  as    (3³)^1/2 .

So it's the same thing as    √(3³) .
TSO
[tex](x)^{\frac{y}{z}} = \sqrt[z]{x^y} \\\\3^{\frac{3}{2}} = \sqrt[2]{3^3} = \sqrt{3^3} = \sqrt{27} = \sqrt{9\times 3} =\boxed{\bf{3 \sqrt{3}}}[/tex]

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