[tex]50\%\cdot4^{100}=\dfrac{1}{2}\cdot (2^2)^{100}=2^{-1}\cdot 2^{200}=2^{-1+200}=2^{199}[/tex]
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[tex]50\%\cdot4^{100}=\dfrac{1}{2}\cdot (2^2)^{100}=2^{-1}\cdot 2^{200}=2^{-1+200}=2^{199}[/tex]