Whakaoti i te [5/4-(-2+3/4)^2]:(5/4)^2-(-2)^3}:[43/5-(-frac{4}{5})^2*(2-frac{3}{4})]

$$[ \frac { 5 } { 4 } - ( - 2 + \frac { 3 } { 4 } ) ^ { 2 } ] : ( \frac { 5 } { 4 } ) ^ { 2 } - ( - 2 ) ^ { 3 } \} : [ \frac { 43 } { 5 } - ( - \frac { 4 } { 5 } ) ^ { 2 } \cdot ( 2 - \frac { 3 } { 4 } ) ]$$

Aromātai

$$\frac{39}{5}=7.8$$

Ngā Upane Otinga

Tāpirihia te -2 ki te \frac{3}{4}, ka -\frac{5}{4}.

$$\frac{\frac{5}{4}-\left(-\frac{5}{4}\right)^{2}}{\left(\frac{5}{4}\right)^{2}}-\left(-2\right)^{3}$$

Tātaihia te -\frac{5}{4} mā te pū o 2, kia riro ko \frac{25}{16}.

$$\frac{\frac{5}{4}-\frac{25}{16}}{\left(\frac{5}{4}\right)^{2}}-\left(-2\right)^{3}$$

Tangohia te \frac{25}{16} i te \frac{5}{4}, ka -\frac{5}{16}.

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

Tātaihia te \frac{5}{4} mā te pū o 2, kia riro ko \frac{25}{16}.

$$\frac{-\frac{5}{16}}{\frac{25}{16}}-\left(-2\right)^{3}$$

Whakawehe -\frac{5}{16} ki te \frac{25}{16} mā te whakarea -\frac{5}{16} ki te tau huripoki o \frac{25}{16}.

$$-\frac{5}{16}\times \frac{16}{25}-\left(-2\right)^{3}$$

Whakareatia te -\frac{5}{16} ki te \frac{16}{25}, ka -\frac{1}{5}.

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

Tātaihia te -2 mā te pū o 3, kia riro ko -8.

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

Ko te tauaro o -8 ko 8.

$$-\frac{1}{5}+8$$

Tāpirihia te -\frac{1}{5} ki te 8, ka \frac{39}{5}.

$$\frac{39}{5}$$

Tauwehe

$$\frac{3 \cdot 13}{5} = 7\frac{4}{5} = 7.8$$