Whakaoti i te 5^4/8-5^3/4+5^2/2=-5^2/8

$$\frac { 5 ^ { 4 } } { 8 } - \frac { 5 ^ { 3 } } { 4 } + \frac { 5 ^ { 2 } } { 2 } = - \frac { 5 ^ { 2 } } { 8 }$$

Manatoko

Ngā Upane Otinga

Me whakarea ngā taha e rua o te whārite ki te 8, arā, te tauraro pātahi he tino iti rawa te kitea o 8,4,2.

$$5^{4}-2\times 5^{3}+4\times 5^{2}=-5^{2}$$

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

$$625-2\times 5^{3}+4\times 5^{2}=-5^{2}$$

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

$$625-2\times 125+4\times 5^{2}=-5^{2}$$

Whakareatia te -2 ki te 125, ka -250.

$$625-250+4\times 5^{2}=-5^{2}$$

Tangohia te 250 i te 625, ka 375.

$$375+4\times 5^{2}=-5^{2}$$

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

$$375+4\times 25=-5^{2}$$

Whakareatia te 4 ki te 25, ka 100.

$$375+100=-5^{2}$$

Tāpirihia te 375 ki te 100, ka 475.

$$475=-5^{2}$$

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

$$475=-25$$

Whakatauritea te 475 me te -25.

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