Example

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

Question

$${ \left(3 \sqrt{ 2 } \right) }^{ 2 }$$

Answer

18

Solution


Use Multiplication Distributive Property: \({(xy)}^{a}={x}^{a}{y}^{a}\).
\[{3}^{2}{\sqrt{2}}^{2}\]
Simplify  \({3}^{2}\)  to  \(9\).
\[9{\sqrt{2}}^{2}\]
Use this rule: \({\sqrt{x}}^{2}=x\).
\[9\times 2\]
Simplify.
\[18\]
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