Question 809770
Simply Sqrt(2)*cuberoot(2^4)
I think you meant simplify.
= {{{sqrt(2)*root(3,2^4)}}}
= {{{2^(1/2)*2^(4/3)}}}
= {{{2^(11/6)}}}
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= {{{root(6,2048)}}}
= {{{2*root(6,32)}}}
I don't know which is the simplest.  It's a nebulous term.
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(Ab^-2)^-1/3
Multiply exponents.
= {{{a^(-1/3)b^2/3)}}}
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= {{{root(3,(b^2/a))}}}
= {{{root(3,(a^2b^2/a^3))}}}
= {{{root(3,(a^2b^2))/a}}}