(a) `(root(4)(9)+root(4)(4))^(1/3)*(root(4)(9)-root(4)(4))^(1/3)` simplify

root(4)(root(4)(a))=?

root(4)(root(3)(3^2))

root(5)(root(4)(3^2))

root (4) (root(3)(2^2))

[root(4)(16)-root(4)(25)]^((1)/(3))[root(4)(25)+root(4)(16)]^((1)/(3))=

root(3)(2) times root(3)(4)

The expression (root(3)(root(6)(a^(9))))^(4)(root(6)(root(3)(a^(9))))^(4) is simplified to a^(16)(b)a^(12)(c)a^(8)(d)a^(4)

root(3)(2) . root(4)(2) . root(12)(32)

The expression [root(3)(root(6)(a^(9)))]^(4)[root(6)(root(3)(a^(9)))]^(4) is simplified to a.a ^(16) b.a^(12) c.a^(8) d.a^(4)

root(3)(4)times root(3)(16)