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$R=P\left ( P\left ( P\left ( \phi \right ) \right ) \right )$

$T=P\left ( P\left ( \left \{ 1,2 \right \} \right ) \right )$

What is cardinality of set $S$, where $S=R\times T$

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$R=P(P(P(\phi ))) = P(P(2^0)) = P(2^1)=2^2=4 \\T=P(P(\{ 1,2\})=P(2^2)=2^4=16 \\S=R\  \times T\\S=4 \ \times 16=\color{RED}{64} $
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R=P(P(P(Ø)))=P(P(2^0))=P(P(1))=P(2^1)=P(2)=2^2=4

Similarly T=P(P{1,2}))=P(2^2)=P(4)=2^4=16

Hence S=R*T=4*16=64

Here POWER of set containg n element=P(N)= 2^n.

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