For which value of \(k\) is \(\sqrt{2016}+\sqrt{56}\) equal to \(14^k\)?

A)\(\:\dfrac{1}{2} \qquad\) B) \(\dfrac{3}{4} \qquad\) C) \(\dfrac{5}{4} \qquad\) D) \(\dfrac{3}{2} \qquad\) E) \(\dfrac{5}{2}\)

For which value of \(k\) is \(\sqrt{2016}+\sqrt{56}\) equal to \(14^k\)?

A)\(\:\dfrac{1}{2} \qquad\) B) \(\dfrac{3}{4} \qquad\) C) \(\dfrac{5}{4} \qquad\) D) \(\dfrac{3}{2} \qquad\) E) \(\dfrac{5}{2}\)