Example

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

Question

$${ \infty }^{ 2 } \times { \infty }^{ 2 } \times { \infty }^{ 2 } \times { \infty }^{ 2 } =$$

Answer

$$o^16$$

Solution


Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[{({o}^{2})}^{2}{({o}^{2})}^{2}{({o}^{2})}^{2}{({o}^{2})}^{2}\]
Use Power Rule: \({({x}^{a})}^{b}={x}^{ab}\).
\[{o}^{4}{o}^{4}{o}^{4}{o}^{4}\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[{o}^{4+4+4+4}\]
Simplify  \(4+4\)  to  \(8\).
\[{o}^{8+4+4}\]
Simplify  \(8+4\)  to  \(12\).
\[{o}^{12+4}\]
Simplify  \(12+4\)  to  \(16\).
\[{o}^{16}\]
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