Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[{({o}^{2})}^{2+3}{({o}^{2})}^{9+8}\]
Simplify \(2+3\) to \(5\).
\[{({o}^{2})}^{5}{({o}^{2})}^{9+8}\]
Simplify \(9+8\) to \(17\).
\[{({o}^{2})}^{5}{({o}^{2})}^{17}\]
Use Power Rule: \({({x}^{a})}^{b}={x}^{ab}\).
\[{o}^{10}{({o}^{2})}^{17}\]
Use Power Rule: \({({x}^{a})}^{b}={x}^{ab}\).
\[{o}^{10}{o}^{34}\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[{o}^{10+34}\]
Simplify \(10+34\) to \(44\).
\[{o}^{44}\]
o^44