Question

Solve the expression?
(picture will be below)
Thanks a lot!

Answer 1

First, I would move everything to the top (by flipping the signs of the exponents on the bottom:
\[\frac{ x^\frac{ 2 }{ 3 } y^{-\frac{ 1 }{ 4 }}}{ x^\frac{ 1 }{ 2 } y^{-\frac{ 1 }{ 2 }} } \rightarrow x^\frac{ 2 }{ 3 } y^{-\frac{ 1 }{ 4 }}x^{-\frac{ 1 }{ 2 }} y^{\frac{ 1 }{ 2 }}\]
Then, combine exponents like normal:
\[a^na^m \rightarrow a^{n+m}\]