Use Power Rule: \({({x}^{a})}^{b}={x}^{ab}\).
\[\frac{{2}^{8}\times {7}^{3}}{{8}^{2}\times 7}\]
Simplify \({2}^{8}\) to \(256\).
\[\frac{256\times {7}^{3}}{{8}^{2}\times 7}\]
Simplify \({8}^{2}\) to \(64\).
\[\frac{256\times {7}^{3}}{64\times 7}\]
Simplify \(64\times 7\) to \(448\).
\[\frac{256\times {7}^{3}}{448}\]
Simplify \({7}^{3}\) to \(343\).
\[\frac{256\times 343}{448}\]
Simplify \(256\times 343\) to \(87808\).
\[\frac{87808}{448}\]
Simplify.
\[196\]
196
