Example

3(r+2s)=2t-4
a⋅(b-2)=3b
3(r+2s)=2t-4
a⋅(b-2)=3b

Question

$${ \infty }^{ 224 } \times { \infty }^{ 274 }$$

Answer

$$o^996$$

Solution


Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[{({o}^{2})}^{224}{({o}^{2})}^{274}\]
Use Power Rule: \({({x}^{a})}^{b}={x}^{ab}\).
\[{o}^{448}{({o}^{2})}^{274}\]
Use Power Rule: \({({x}^{a})}^{b}={x}^{ab}\).
\[{o}^{448}{o}^{548}\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[{o}^{448+548}\]
Simplify  \(448+548\)  to  \(996\).
\[{o}^{996}\]
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