We notice here presence of roots of the power 4. Let's rearrange the expression for more comfortable use: 5^1/4 * 5^-9/4 = sqrt(4){5}*sqrt(4){1/5^9} = sqrt(4){5/5^9} = sqrt(4){5^-8} =
= 5^{-8/4} = 5^-2 = 1/5^2 = 1/25 Or even simplier: 5^1/4 * 5^-9/4 = 5^(1/4 - 9/4) = 5^(-8/4) = 5^-2 = 1/25.
5^(1/4) * 5^(-9/4)
+259 
