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If \(K^{3/2}\) is \(50\%\) bigger than \(K^{5/4},\) what is the value of \(K?\)
(A) \(\dfrac{\sqrt3}{\sqrt2}\)
(B) \(\dfrac32\)
(C) \(\dfrac94\)
(D) \(\dfrac{27}8\)
(E) \(\dfrac{81}{16}\)
[spoiler]OA=E[/spoiler]
Source: Magoosh
(A) \(\dfrac{\sqrt3}{\sqrt2}\)
(B) \(\dfrac32\)
(C) \(\dfrac94\)
(D) \(\dfrac{27}8\)
(E) \(\dfrac{81}{16}\)
[spoiler]OA=E[/spoiler]
Source: Magoosh
