Question

simplify and express without radicals. Sqrt(x)/eleventh root (x)
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Answer 1

\[\sqrt{x}/\sqrt[11]{x}\]

Answer 2

Rules:
a^b * a^c = a^{b+c}
a^b/a^c =a^{b-c}
(a^b)^c = a^{bc}


Numerator = sqrt x = x^(1/2)
Denominator = x^(1/11)

So, via the rules, x^(1/2-1/11) = x^(9/22) which u can "read" as

the 22nd root of x raised to the power 9.