Whakaoti i te 15*10^5+05*10^3*5^2+10^5=x+05*{10}^3*{25}^2

$$15 \times { 10 }^{ 5 } +05 \times { 10 }^{ 3 } \times { 5 }^{ 2 } + { 10 }^{ 5 } =x+05 \times { 10 }^{ 3 } \times { 25 }^{ 2 }$$

Whakaoti mō x

$$x=1600000$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 1 me te 2 kia riro ai te 3.

$$15\times 10^{5}+0\times 5^{3}\times 10^{3}+10^{5}=x+0\times 5\times 10^{3}\times 25^{2}$$

Tātaihia te 10 mā te pū o 5, kia riro ko 100000.

$$15\times 100000+0\times 5^{3}\times 10^{3}+10^{5}=x+0\times 5\times 10^{3}\times 25^{2}$$

Whakareatia te 15 ki te 100000, ka 1500000.

$$1500000+0\times 5^{3}\times 10^{3}+10^{5}=x+0\times 5\times 10^{3}\times 25^{2}$$

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

$$1500000+0\times 125\times 10^{3}+10^{5}=x+0\times 5\times 10^{3}\times 25^{2}$$

Whakareatia te 0 ki te 125, ka 0.

$$1500000+0\times 10^{3}+10^{5}=x+0\times 5\times 10^{3}\times 25^{2}$$

Tātaihia te 10 mā te pū o 3, kia riro ko 1000.

$$1500000+0\times 1000+10^{5}=x+0\times 5\times 10^{3}\times 25^{2}$$

Whakareatia te 0 ki te 1000, ka 0.

$$1500000+0+10^{5}=x+0\times 5\times 10^{3}\times 25^{2}$$

Tāpirihia te 1500000 ki te 0, ka 1500000.

$$1500000+10^{5}=x+0\times 5\times 10^{3}\times 25^{2}$$

Tātaihia te 10 mā te pū o 5, kia riro ko 100000.

$$1500000+100000=x+0\times 5\times 10^{3}\times 25^{2}$$

Tāpirihia te 1500000 ki te 100000, ka 1600000.

$$1600000=x+0\times 5\times 10^{3}\times 25^{2}$$

Whakareatia te 0 ki te 5, ka 0.

$$1600000=x+0\times 10^{3}\times 25^{2}$$

Tātaihia te 10 mā te pū o 3, kia riro ko 1000.

$$1600000=x+0\times 1000\times 25^{2}$$

Whakareatia te 0 ki te 1000, ka 0.

$$1600000=x+0\times 25^{2}$$

Tātaihia te 25 mā te pū o 2, kia riro ko 625.

$$1600000=x+0\times 625$$

Whakareatia te 0 ki te 625, ka 0.

$$1600000=x+0$$

Ko te tau i tāpiria he kore ka hua koia tonu.

$$1600000=x$$

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$x=1600000$$