[tex]\sqrt{1\frac9{16}}*4^2-(\frac14)^3=\sqrt{\frac{25}{16}}*16-\frac1{64}=\frac54*16-\frac1{64}=20-\frac1{64}=\boxed{19\frac{63}{64}}[/tex]
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[tex]\sqrt{1\frac9{16}}*4^2-(\frac14)^3=\sqrt{\frac{25}{16}}*16-\frac1{64}=\frac54*16-\frac1{64}=20-\frac1{64}=\boxed{19\frac{63}{64}}[/tex]