question_answer

Find the value of K, where K is an integer and \[{{\mathbf{2}}^{\mathbf{K+5}}}\mathbf{\times }{{\mathbf{6}}^{\mathbf{2K-3}}}\mathbf{=}\frac{{{\mathbf{3}}^{\mathbf{-8}}}}{\mathbf{1}{{\mathbf{2}}^{\mathbf{6}}}\mathbf{\times }{{\mathbf{2}}^{\mathbf{3}}}}\]

A) -5

B)  -6

C)  5

D) -8

E)  None of these