Whakaoti i te [(1/2)^{4}+(1/2)^{2}-(1/4)^2*3]^2:(1/2)^2+frac{3}{16}+(frac{1}{2})^2

$$[ ( \frac { 1 } { 2 } ) ^ { 4 } + ( \frac { 1 } { 2 } ) ^ { 2 } - ( \frac { 1 } { 4 } ) ^ { 2 } \times 3 ] ^ { 2 } : ( \frac { 1 } { 2 } ) ^ { 2 } + \frac { 3 } { 16 } + ( \frac { 1 } { 2 } ) ^ { 2 }$$

Aromātai

$$\frac{1}{2}=0.5$$

Ngā Upane Otinga

Tātaihia te \frac{1}{2} mā te pū o 4, kia riro ko \frac{1}{16}.

$$\frac{\left(\frac{1}{16}+\left(\frac{1}{2}\right)^{2}-\left(\frac{1}{4}\right)^{2}\times 3\right)^{2}}{\left(\frac{1}{2}\right)^{2}}+\frac{3}{16}+\left(\frac{1}{2}\right)^{2}$$

Tātaihia te \frac{1}{2} mā te pū o 2, kia riro ko \frac{1}{4}.

$$\frac{\left(\frac{1}{16}+\frac{1}{4}-\left(\frac{1}{4}\right)^{2}\times 3\right)^{2}}{\left(\frac{1}{2}\right)^{2}}+\frac{3}{16}+\left(\frac{1}{2}\right)^{2}$$

Tāpirihia te \frac{1}{16} ki te \frac{1}{4}, ka \frac{5}{16}.

$$\frac{\left(\frac{5}{16}-\left(\frac{1}{4}\right)^{2}\times 3\right)^{2}}{\left(\frac{1}{2}\right)^{2}}+\frac{3}{16}+\left(\frac{1}{2}\right)^{2}$$

Tātaihia te \frac{1}{4} mā te pū o 2, kia riro ko \frac{1}{16}.

$$\frac{\left(\frac{5}{16}-\frac{1}{16}\times 3\right)^{2}}{\left(\frac{1}{2}\right)^{2}}+\frac{3}{16}+\left(\frac{1}{2}\right)^{2}$$

Whakareatia te \frac{1}{16} ki te 3, ka \frac{3}{16}.

$$\frac{\left(\frac{5}{16}-\frac{3}{16}\right)^{2}}{\left(\frac{1}{2}\right)^{2}}+\frac{3}{16}+\left(\frac{1}{2}\right)^{2}$$

Tangohia te \frac{3}{16} i te \frac{5}{16}, ka \frac{1}{8}.

$$\frac{\left(\frac{1}{8}\right)^{2}}{\left(\frac{1}{2}\right)^{2}}+\frac{3}{16}+\left(\frac{1}{2}\right)^{2}$$

Tātaihia te \frac{1}{8} mā te pū o 2, kia riro ko \frac{1}{64}.

$$\frac{\frac{1}{64}}{\left(\frac{1}{2}\right)^{2}}+\frac{3}{16}+\left(\frac{1}{2}\right)^{2}$$

Tātaihia te \frac{1}{2} mā te pū o 2, kia riro ko \frac{1}{4}.

$$\frac{\frac{1}{64}}{\frac{1}{4}}+\frac{3}{16}+\left(\frac{1}{2}\right)^{2}$$

Whakawehe \frac{1}{64} ki te \frac{1}{4} mā te whakarea \frac{1}{64} ki te tau huripoki o \frac{1}{4}.

$$\frac{1}{64}\times 4+\frac{3}{16}+\left(\frac{1}{2}\right)^{2}$$

Whakareatia te \frac{1}{64} ki te 4, ka \frac{1}{16}.

$$\frac{1}{16}+\frac{3}{16}+\left(\frac{1}{2}\right)^{2}$$

Tāpirihia te \frac{1}{16} ki te \frac{3}{16}, ka \frac{1}{4}.

$$\frac{1}{4}+\left(\frac{1}{2}\right)^{2}$$

Tātaihia te \frac{1}{2} mā te pū o 2, kia riro ko \frac{1}{4}.

$$\frac{1}{4}+\frac{1}{4}$$

Tāpirihia te \frac{1}{4} ki te \frac{1}{4}, ka \frac{1}{2}.

$$\frac{1}{2}$$

Tauwehe

$$\frac{1}{2} = 0.5$$