50+ Points to whoever get this equation right with Explanation

Answer:
see explanation
Step-by-step explanation:
Using the rules of radicals
• [tex](ab)^{\frac{m}{n} }[/tex] ⇔ [tex]\sqrt[n]{(ab)^{m} }[/tex], hence
[tex]c^{\frac{1}{2} }[/tex][tex]d^{\frac{1}{2} }[/tex] × [tex]d^{\frac{1}{3} }[/tex]
= [tex]c^{\frac{1}{2} }[/tex] × [tex]d^{\frac{5}{6} }[/tex]
= [tex]\sqrt{c}[/tex] × [tex]\sqrt[6]{d^{5} }[/tex]