Whakaoti i te (3:2)^3+(5-2)^3+(9:2)^2-(5/2-1)^2=

$$( 3 : 2 ) ^ { 3 } + ( 5 - 2 ) ^ { 3 } + ( 9 : 2 ) ^ { 2 } - ( \frac { 5 } { 2 } - 1 ) ^ { 2 } =$$

Aromātai

$$\frac{387}{8}=48.375$$

Ngā Upane Otinga

Tātaihia te \frac{3}{2} mā te pū o 3, kia riro ko \frac{27}{8}.

$$\frac{27}{8}+\left(5-2\right)^{3}+\left(\frac{9}{2}\right)^{2}-\left(\frac{5}{2}-1\right)^{2}$$

Tangohia te 2 i te 5, ka 3.

$$\frac{27}{8}+3^{3}+\left(\frac{9}{2}\right)^{2}-\left(\frac{5}{2}-1\right)^{2}$$

Tātaihia te 3 mā te pū o 3, kia riro ko 27.

$$\frac{27}{8}+27+\left(\frac{9}{2}\right)^{2}-\left(\frac{5}{2}-1\right)^{2}$$

Tāpirihia te \frac{27}{8} ki te 27, ka \frac{243}{8}.

$$\frac{243}{8}+\left(\frac{9}{2}\right)^{2}-\left(\frac{5}{2}-1\right)^{2}$$

Tātaihia te \frac{9}{2} mā te pū o 2, kia riro ko \frac{81}{4}.

$$\frac{243}{8}+\frac{81}{4}-\left(\frac{5}{2}-1\right)^{2}$$

Tāpirihia te \frac{243}{8} ki te \frac{81}{4}, ka \frac{405}{8}.

$$\frac{405}{8}-\left(\frac{5}{2}-1\right)^{2}$$

Tangohia te 1 i te \frac{5}{2}, ka \frac{3}{2}.

$$\frac{405}{8}-\left(\frac{3}{2}\right)^{2}$$

Tātaihia te \frac{3}{2} mā te pū o 2, kia riro ko \frac{9}{4}.

$$\frac{405}{8}-\frac{9}{4}$$

Tangohia te \frac{9}{4} i te \frac{405}{8}, ka \frac{387}{8}.

$$\frac{387}{8}$$

Tauwehe

$$\frac{3 ^ {2} \cdot 43}{2 ^ {3}} = 48\frac{3}{8} = 48.375$$