Question

Find the value of k in each of the following:

`root(4)root(3)(x^2)` = x^k 

Answer 1

`root(4)root(3)(x^2)` = x^k 

⇒ `{(x^2)^(1/3)}^(1/4)` = x^k

⇒ `(x^2)^(1/12)` = x^k

⇒ `x^(2/12)` = x^k

⇒ `x^(1/6)` = x^k

⇒ k = `(1)/(6)`.