Question

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

Answer 1

Answer:

5^1

Step-by-step explanation:

$\sqrt{5} =5^{\frac{1}{2} }$ (law of indices - fractional powers)

after converting all the numbers to this form:

$\frac{5^{{\frac{2}{3} } } * 5^{\frac{1}{2} } }{5^{\frac{1}{6} } }$

combine using law of indices:

5^(2/3+1/2-1/6) = 5^1