Whakaoti i te [(2-13/5)^2+(5/8-3/4)-(6/5*frac{1}{3})^4*(7frac{1}{2})^3]:(5-frac{6}{5})=

$$[ ( 2 - 1 \frac { 3 } { 5 } ) ^ { 2 } + ( \frac { 5 } { 8 } - \frac { 3 } { 4 } ) - ( \frac { 6 } { 5 } \cdot \frac { 1 } { 3 } ) ^ { 4 } \cdot ( 7 \frac { 1 } { 2 } ) ^ { 3 } ] : ( 5 - \frac { 6 } { 5 } ) =$$

Aromātai

$$-\frac{2153}{760}\approx -2.832894737$$

Ngā Upane Otinga

Whakareatia te 1 ki te 5, ka 5.

$$\frac{\left(2-\frac{5+3}{5}\right)^{2}+\frac{5}{8}-\frac{3}{4}-\left(\frac{6}{5}\times \frac{1}{3}\right)^{4}\times \left(\frac{7\times 2+1}{2}\right)^{3}}{5-\frac{6}{5}}$$

Tāpirihia te 5 ki te 3, ka 8.

$$\frac{\left(2-\frac{8}{5}\right)^{2}+\frac{5}{8}-\frac{3}{4}-\left(\frac{6}{5}\times \frac{1}{3}\right)^{4}\times \left(\frac{7\times 2+1}{2}\right)^{3}}{5-\frac{6}{5}}$$

Tangohia te \frac{8}{5} i te 2, ka \frac{2}{5}.

$$\frac{\left(\frac{2}{5}\right)^{2}+\frac{5}{8}-\frac{3}{4}-\left(\frac{6}{5}\times \frac{1}{3}\right)^{4}\times \left(\frac{7\times 2+1}{2}\right)^{3}}{5-\frac{6}{5}}$$

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

$$\frac{\frac{4}{25}+\frac{5}{8}-\frac{3}{4}-\left(\frac{6}{5}\times \frac{1}{3}\right)^{4}\times \left(\frac{7\times 2+1}{2}\right)^{3}}{5-\frac{6}{5}}$$

Tāpirihia te \frac{4}{25} ki te \frac{5}{8}, ka \frac{157}{200}.

$$\frac{\frac{157}{200}-\frac{3}{4}-\left(\frac{6}{5}\times \frac{1}{3}\right)^{4}\times \left(\frac{7\times 2+1}{2}\right)^{3}}{5-\frac{6}{5}}$$

Tangohia te \frac{3}{4} i te \frac{157}{200}, ka \frac{7}{200}.

$$\frac{\frac{7}{200}-\left(\frac{6}{5}\times \frac{1}{3}\right)^{4}\times \left(\frac{7\times 2+1}{2}\right)^{3}}{5-\frac{6}{5}}$$

Whakareatia te \frac{6}{5} ki te \frac{1}{3}, ka \frac{2}{5}.

$$\frac{\frac{7}{200}-\left(\frac{2}{5}\right)^{4}\times \left(\frac{7\times 2+1}{2}\right)^{3}}{5-\frac{6}{5}}$$

Tātaihia te \frac{2}{5} mā te pū o 4, kia riro ko \frac{16}{625}.

$$\frac{\frac{7}{200}-\frac{16}{625}\times \left(\frac{7\times 2+1}{2}\right)^{3}}{5-\frac{6}{5}}$$

Whakareatia te 7 ki te 2, ka 14.

$$\frac{\frac{7}{200}-\frac{16}{625}\times \left(\frac{14+1}{2}\right)^{3}}{5-\frac{6}{5}}$$

Tāpirihia te 14 ki te 1, ka 15.

$$\frac{\frac{7}{200}-\frac{16}{625}\times \left(\frac{15}{2}\right)^{3}}{5-\frac{6}{5}}$$

Tātaihia te \frac{15}{2} mā te pū o 3, kia riro ko \frac{3375}{8}.

$$\frac{\frac{7}{200}-\frac{16}{625}\times \frac{3375}{8}}{5-\frac{6}{5}}$$

Whakareatia te \frac{16}{625} ki te \frac{3375}{8}, ka \frac{54}{5}.

$$\frac{\frac{7}{200}-\frac{54}{5}}{5-\frac{6}{5}}$$

Tangohia te \frac{54}{5} i te \frac{7}{200}, ka -\frac{2153}{200}.

$$\frac{-\frac{2153}{200}}{5-\frac{6}{5}}$$

Tangohia te \frac{6}{5} i te 5, ka \frac{19}{5}.

$$\frac{-\frac{2153}{200}}{\frac{19}{5}}$$

Whakawehe -\frac{2153}{200} ki te \frac{19}{5} mā te whakarea -\frac{2153}{200} ki te tau huripoki o \frac{19}{5}.

$$-\frac{2153}{200}\times \frac{5}{19}$$

Whakareatia te -\frac{2153}{200} ki te \frac{5}{19}, ka -\frac{2153}{760}.

$$-\frac{2153}{760}$$

Tauwehe

$$-\frac{2153}{760} = -2\frac{633}{760} = -2.832894736842105$$