How can I express this as a single power with positive exponents?

Answer:
5^1
Step-by-step explanation:
[tex]\sqrt{5} =5^{\frac{1}{2} }[/tex] (law of indices - fractional powers)
after converting all the numbers to this form:
[tex]\frac{5^{{\frac{2}{3} } } * 5^{\frac{1}{2} } }{5^{\frac{1}{6} } } \\[/tex]
combine using law of indices:
5^(2/3+1/2-1/6) = 5^1