Problem Solving (PS) | Re: If K^(3/2) is 50% bigger than k^(5/4), what is the value of K?

If\(K^{3/2}\) is 50% bigger than\(K^{5/4}\) , what is the value of K?

(A)\(\frac{\sqrt{3}}{\sqrt{2}}\)

(B)\(\frac{3}{2}\)

(C)\(\frac{9}{4}\)

(D)\(\frac{27}{8}\)

(E)\(\frac{81}{16}\)


For a set of challenging problems on exponent, as well as the OA to this particular question, see:
https://magoosh.com/gmat/2014/challengi ... and-roots/