Whakaoti i te u=4.56110^31.515^4/0.57^3

$$u = 4.56 \frac{ 1 { 10 }^{ 3 } 1.5 { 15 }^{ 4 } }{ { 0.57 }^{ 3 } }$$

Whakaoti mō u

$$u = \frac{675000000000}{361} = 1869806094\frac{66}{361} \approx 1869806094.182825485$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$u=4.56\times \frac{1\times 1000\times 1.5\times 15^{4}}{0.57^{3}}$$

Whakareatia te 1 ki te 1000, ka 1000.

$$u=4.56\times \frac{1000\times 1.5\times 15^{4}}{0.57^{3}}$$

Whakareatia te 1000 ki te 1.5, ka 1500.

$$u=4.56\times \frac{1500\times 15^{4}}{0.57^{3}}$$

Tātaihia te 15 mā te pū o 4, kia riro ko 50625.

$$u=4.56\times \frac{1500\times 50625}{0.57^{3}}$$

Whakareatia te 1500 ki te 50625, ka 75937500.

$$u=4.56\times \frac{75937500}{0.57^{3}}$$

Tātaihia te 0.57 mā te pū o 3, kia riro ko 0.185193.

$$u=4.56\times \frac{75937500}{0.185193}$$

Whakarohaina te \frac{75937500}{0.185193} mā te whakarea i te taurunga me te tauraro ki te 1000000.

$$u=4.56\times \frac{75937500000000}{185193}$$

Whakahekea te hautanga \frac{75937500000000}{185193} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 27.

$$u=4.56\times \frac{2812500000000}{6859}$$

Me tahuri ki tau ā-ira 4.56 ki te hautau \frac{456}{100}. Whakahekea te hautanga \frac{456}{100} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$u=\frac{114}{25}\times \frac{2812500000000}{6859}$$

Me whakarea te \frac{114}{25} ki te \frac{2812500000000}{6859} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$u=\frac{114\times 2812500000000}{25\times 6859}$$

Mahia ngā whakarea i roto i te hautanga \frac{114\times 2812500000000}{25\times 6859}.

$$u=\frac{320625000000000}{171475}$$

Whakahekea te hautanga \frac{320625000000000}{171475} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 475.

$$u=\frac{675000000000}{361}$$

Tautapa u

$$u≔\frac{675000000000}{361}$$