Whakaoti i te (-5)*[(-1/85+18/17-1/5)*17-(-4/5)^2]-|-2*(-2)^3|

$$( - 5 ) \times [ ( - \frac { 1 } { 85 } + 1 \frac { 8 } { 17 } - \frac { 1 } { 5 } ) \times 17 - ( - \frac { 4 } { 5 } ) ^ { 2 } ] - | - 2 \times ( - 2 ) ^ { 3 } |$$

Aromātai

$$-\frac{599}{5}=-119.8$$

Ngā Upane Otinga

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 1 me te 3 kia riro ai te 4.

$$-5\left(\left(-\frac{1}{85}+\frac{17+8}{17}-\frac{1}{5}\right)\times 17-\left(-\frac{4}{5}\right)^{2}\right)-|\left(-2\right)^{4}|$$

Tāpirihia te 17 ki te 8, ka 25.

$$-5\left(\left(-\frac{1}{85}+\frac{25}{17}-\frac{1}{5}\right)\times 17-\left(-\frac{4}{5}\right)^{2}\right)-|\left(-2\right)^{4}|$$

Ko te maha noa iti rawa atu o 85 me 17 ko 85. Me tahuri -\frac{1}{85} me \frac{25}{17} ki te hautau me te tautūnga 85.

$$-5\left(\left(-\frac{1}{85}+\frac{125}{85}-\frac{1}{5}\right)\times 17-\left(-\frac{4}{5}\right)^{2}\right)-|\left(-2\right)^{4}|$$

Tā te mea he rite te tauraro o -\frac{1}{85} me \frac{125}{85}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$-5\left(\left(\frac{-1+125}{85}-\frac{1}{5}\right)\times 17-\left(-\frac{4}{5}\right)^{2}\right)-|\left(-2\right)^{4}|$$

Tāpirihia te -1 ki te 125, ka 124.

$$-5\left(\left(\frac{124}{85}-\frac{1}{5}\right)\times 17-\left(-\frac{4}{5}\right)^{2}\right)-|\left(-2\right)^{4}|$$

Ko te maha noa iti rawa atu o 85 me 5 ko 85. Me tahuri \frac{124}{85} me \frac{1}{5} ki te hautau me te tautūnga 85.

$$-5\left(\left(\frac{124}{85}-\frac{17}{85}\right)\times 17-\left(-\frac{4}{5}\right)^{2}\right)-|\left(-2\right)^{4}|$$

Tā te mea he rite te tauraro o \frac{124}{85} me \frac{17}{85}, me tango rāua mā te tango i ō raua taurunga.

$$-5\left(\frac{124-17}{85}\times 17-\left(-\frac{4}{5}\right)^{2}\right)-|\left(-2\right)^{4}|$$

Tangohia te 17 i te 124, ka 107.

$$-5\left(\frac{107}{85}\times 17-\left(-\frac{4}{5}\right)^{2}\right)-|\left(-2\right)^{4}|$$

Tuhia te \frac{107}{85}\times 17 hei hautanga kotahi.

$$-5\left(\frac{107\times 17}{85}-\left(-\frac{4}{5}\right)^{2}\right)-|\left(-2\right)^{4}|$$

Whakareatia te 107 ki te 17, ka 1819.

$$-5\left(\frac{1819}{85}-\left(-\frac{4}{5}\right)^{2}\right)-|\left(-2\right)^{4}|$$

Whakahekea te hautanga \frac{1819}{85} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 17.

$$-5\left(\frac{107}{5}-\left(-\frac{4}{5}\right)^{2}\right)-|\left(-2\right)^{4}|$$

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

$$-5\left(\frac{107}{5}-\frac{16}{25}\right)-|\left(-2\right)^{4}|$$

Ko te maha noa iti rawa atu o 5 me 25 ko 25. Me tahuri \frac{107}{5} me \frac{16}{25} ki te hautau me te tautūnga 25.

$$-5\left(\frac{535}{25}-\frac{16}{25}\right)-|\left(-2\right)^{4}|$$

Tā te mea he rite te tauraro o \frac{535}{25} me \frac{16}{25}, me tango rāua mā te tango i ō raua taurunga.

$$-5\times \frac{535-16}{25}-|\left(-2\right)^{4}|$$

Tangohia te 16 i te 535, ka 519.

$$-5\times \frac{519}{25}-|\left(-2\right)^{4}|$$

Tuhia te -5\times \frac{519}{25} hei hautanga kotahi.

$$\frac{-5\times 519}{25}-|\left(-2\right)^{4}|$$

Whakareatia te -5 ki te 519, ka -2595.

$$\frac{-2595}{25}-|\left(-2\right)^{4}|$$

Whakahekea te hautanga \frac{-2595}{25} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$-\frac{519}{5}-|\left(-2\right)^{4}|$$

Tātaihia te -2 mā te pū o 4, kia riro ko 16.

$$-\frac{519}{5}-|16|$$

Ko te uara pū o tētahi tau tūturu a ko a ina a\geq 0, ko -a rānei ina a<0. Ko te uara pū o 16 ko 16.

$$-\frac{519}{5}-16$$

Me tahuri te 16 ki te hautau \frac{80}{5}.

$$-\frac{519}{5}-\frac{80}{5}$$

Tā te mea he rite te tauraro o -\frac{519}{5} me \frac{80}{5}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{-519-80}{5}$$

Tangohia te 80 i te -519, ka -599.

$$-\frac{599}{5}$$

Tauwehe

$$-\frac{599}{5} = -119\frac{4}{5} = -119.8$$