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Question
Find the value of k in each of the following:
`root(4)root(3)(x^2)` = xk
Solution
`root(4)root(3)(x^2)` = xk
⇒ `{(x^2)^(1/3)}^(1/4)` = xk
⇒ `(x^2)^(1/12)` = xk
⇒ `x^(2/12)` = xk
⇒ `x^(1/6)` = xk
⇒ k = `(1)/(6)`.
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