sqrt5(x^4)*sqrt4(x^3)*sqrt3(x^2)*sqrt(x)

Alan....I interpreted this as.....

[√5*x⁴]*[√4*x³]*[√3*x²]*[√x] =

[2√15] * [x⁴ * x³ * x² * x^1/2] =

[2√15] * [ x ^9+1/2] =

[2√15] * [ x ^19/2 ]

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Eh, never mind....as another poster pointed out to me, the questioner is using "sqrt 5" to mean " ⁵√ "   etc.,  ....so Alan's answer is good !!!!

Write this as (x⁴)^1/5(x³)^1/4(x²)^1/3(x)^1/2

This is x^{(4/5+3/4+2/3+1/2)}

4/5 + 3/4 + 2/3 + 1/2 = 163/60 

so x^{(4/5+3/4+2/3+1/2)} = x^163/60