How do I solve this?

Answer:
Step-by-step explanation:
[tex](y^{\frac{3}{2}}*x^{\frac{-1}{2}})^{4} = y^{\frac{3}{2}*4}*x^{\frac{-1}{2}*4}\\\\=y^{3*2}*x^{(-1)*2}\\\\\\=y^{6}x^{-2}\\\\=\frac{y^{6}}{x^{2}}[/tex]
HINT:
[tex](a*b)^{m}=a^{m}*b^{n}\\\\a^{-m}=\frac{1}{a^{m}}[/tex]