Whakaoti i te 510^-220/10002=x98/10005

$$5 { 10 }^{ -2 } \frac{ 20 }{ 1000 } 2 = x \frac{ 98 }{ 1000 } 5$$

Whakaoti mō x

$$x=\frac{1}{245}\approx 0.004081633$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakakore te 5 ki ngā taha e rua.

$$10^{-2}\times \frac{20}{1000}\times 2=x\times \frac{98}{1000}$$

Tātaihia te 10 mā te pū o -2, kia riro ko \frac{1}{100}.

$$\frac{1}{100}\times \frac{20}{1000}\times 2=x\times \frac{98}{1000}$$

Whakahekea te hautanga \frac{20}{1000} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 20.

$$\frac{1}{100}\times \frac{1}{50}\times 2=x\times \frac{98}{1000}$$

Whakareatia te \frac{1}{100} ki te \frac{1}{50}, ka \frac{1}{5000}.

$$\frac{1}{5000}\times 2=x\times \frac{98}{1000}$$

Whakareatia te \frac{1}{5000} ki te 2, ka \frac{1}{2500}.

$$\frac{1}{2500}=x\times \frac{98}{1000}$$

Whakahekea te hautanga \frac{98}{1000} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{1}{2500}=x\times \frac{49}{500}$$

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

$$x\times \frac{49}{500}=\frac{1}{2500}$$

Me whakarea ngā taha e rua ki te \frac{500}{49}, te tau utu o \frac{49}{500}.

$$x=\frac{1}{2500}\times \frac{500}{49}$$

Whakareatia te \frac{1}{2500} ki te \frac{500}{49}, ka \frac{1}{245}.

$$x=\frac{1}{245}$$