question_answer

If \[\mathbf{3600 = }{{\mathbf{2}}^{\mathbf{m}}}\,\mathbf{x }{{\mathbf{3}}^{\mathbf{n}}}\mathbf{ x}\,{{\mathbf{5}}^{\mathbf{p}}}\], then find the value of \[\frac{\mathbf{512}}{{{\mathbf{(16)}}^{\mathbf{(m+n)-p}}}}\]

A) \[{{2}^{-7}}\]

B) \[~{{2}^{7}}\]

C) \[~{{2}^{8}}\]

D) \[~{{2}^{-8}}\]

E)  None of these