Question

Which expression is equivalent to RootIndex 4 StartRoot x Superscript 10 Baseline EndRoot?
x squared (RootIndex 4 StartRoot x squared EndRoot)
x2.2
x cubed (RootIndex 4 StartRoot x EndRoot)
x5

Answer 1

RootIndex 4 StartRoot x^10 EndRoot = (x^10)^{1/4} = x^{10/4} = x^{5/2}.

So it's equal to x^2 * x^{1/2} = x^2 * RootIndex 2 StartRoot x EndRoot, which matches
"x squared (RootIndex 4 StartRoot x squared EndRoot)" because (x^2)^{1/4} = x^{1/2}.

(Assuming x ≥ 0 for real principal roots.)