\(\frac{{2}^{m+n}}{{2}^{n-m}}\) = 24 2m + n - n + m = 2422m = 242m = 4m = 2Also a = 21/10
\(\frac{{a}^{2m+n-p}}{(a^{m-2n+2p})^{-1}}\) a2m+n-p x am-2n+2p
= a2m + m + n - 2n - p + 2p = a3m - n + p
\(= ({2}^{\frac{1}{10}})^{3m-n+p}\)
\(= ({2}^{\frac{1}{10}})^{3(2)-n+p}\)
\(= ({2}^{\frac{1}{10}})^{6-n+p}\)