Whakaoti i te 1/(-5)-5/(-5)^2-25/(-5)^3-125/(-5)^4

$$\frac { 1 } { ( - 5 ) } - \frac { 5 } { ( - 5 ) ^ { 2 } } - \frac { 25 } { ( - 5 ) ^ { 3 } } - \frac { 125 } { ( - 5 ) ^ { 4 } }$$

Aromātai

$$-\frac{2}{5}=-0.4$$

Ngā Upane Otinga

Ka taea te hautanga \frac{1}{-5} te tuhi anō ko -\frac{1}{5} mā te tango i te tohu tōraro.

$$-\frac{1}{5}-\frac{5}{\left(-5\right)^{2}}-\frac{25}{\left(-5\right)^{3}}-\frac{125}{\left(-5\right)^{4}}$$

Tātaihia te -5 mā te pū o 2, kia riro ko 25.

$$-\frac{1}{5}-\frac{5}{25}-\frac{25}{\left(-5\right)^{3}}-\frac{125}{\left(-5\right)^{4}}$$

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

$$-\frac{1}{5}-\frac{1}{5}-\frac{25}{\left(-5\right)^{3}}-\frac{125}{\left(-5\right)^{4}}$$

Tā te mea he rite te tauraro o -\frac{1}{5} me \frac{1}{5}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{-1-1}{5}-\frac{25}{\left(-5\right)^{3}}-\frac{125}{\left(-5\right)^{4}}$$

Tangohia te 1 i te -1, ka -2.

$$-\frac{2}{5}-\frac{25}{\left(-5\right)^{3}}-\frac{125}{\left(-5\right)^{4}}$$

Tātaihia te -5 mā te pū o 3, kia riro ko -125.

$$-\frac{2}{5}-\frac{25}{-125}-\frac{125}{\left(-5\right)^{4}}$$

Whakahekea te hautanga \frac{25}{-125} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 25.

$$-\frac{2}{5}-\left(-\frac{1}{5}\right)-\frac{125}{\left(-5\right)^{4}}$$

Ko te tauaro o -\frac{1}{5} ko \frac{1}{5}.

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

Tā te mea he rite te tauraro o -\frac{2}{5} me \frac{1}{5}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

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

Tāpirihia te -2 ki te 1, ka -1.

$$-\frac{1}{5}-\frac{125}{\left(-5\right)^{4}}$$

Tātaihia te -5 mā te pū o 4, kia riro ko 625.

$$-\frac{1}{5}-\frac{125}{625}$$

Whakahekea te hautanga \frac{125}{625} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 125.

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

Tā te mea he rite te tauraro o -\frac{1}{5} me \frac{1}{5}, me tango rāua mā te tango i ō raua taurunga.

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

Tangohia te 1 i te -1, ka -2.

$$-\frac{2}{5}$$

Tauwehe

$$-\frac{2}{5} = -0.4$$