Whakaoti i te 4*1/14^71000/frac{1000{41}+4118.2/147}

$$\frac{ 4 \cdot 1 }{ { 14 }^{ 7 } } \frac{ 1000 }{ \frac{ 1000 }{ 41 } +41 \frac{ 18.2 }{ 147 } }$$

Aromātai

$$\frac{76875}{132725954648}\approx 0.000000579$$

Ngā Upane Otinga

Whakareatia te 4 ki te 1, ka 4.

$$\frac{4}{14^{7}}\times \frac{1000}{\frac{1000}{41}+\frac{41\times 147+18.2}{147}}$$

Tātaihia te 14 mā te pū o 7, kia riro ko 105413504.

$$\frac{4}{105413504}\times \frac{1000}{\frac{1000}{41}+\frac{41\times 147+18.2}{147}}$$

Whakahekea te hautanga \frac{4}{105413504} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$\frac{1}{26353376}\times \frac{1000}{\frac{1000}{41}+\frac{41\times 147+18.2}{147}}$$

Whakareatia te 41 ki te 147, ka 6027.

$$\frac{1}{26353376}\times \frac{1000}{\frac{1000}{41}+\frac{6027+18.2}{147}}$$

Tāpirihia te 6027 ki te 18.2, ka 6045.2.

$$\frac{1}{26353376}\times \frac{1000}{\frac{1000}{41}+\frac{6045.2}{147}}$$

Whakarohaina te \frac{6045.2}{147} mā te whakarea i te taurunga me te tauraro ki te 10.

$$\frac{1}{26353376}\times \frac{1000}{\frac{1000}{41}+\frac{60452}{1470}}$$

Whakahekea te hautanga \frac{60452}{1470} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 14.

$$\frac{1}{26353376}\times \frac{1000}{\frac{1000}{41}+\frac{4318}{105}}$$

Ko te maha noa iti rawa atu o 41 me 105 ko 4305. Me tahuri \frac{1000}{41} me \frac{4318}{105} ki te hautau me te tautūnga 4305.

$$\frac{1}{26353376}\times \frac{1000}{\frac{105000}{4305}+\frac{177038}{4305}}$$

Tā te mea he rite te tauraro o \frac{105000}{4305} me \frac{177038}{4305}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{1}{26353376}\times \frac{1000}{\frac{105000+177038}{4305}}$$

Tāpirihia te 105000 ki te 177038, ka 282038.

$$\frac{1}{26353376}\times \frac{1000}{\frac{282038}{4305}}$$

Whakawehe 1000 ki te \frac{282038}{4305} mā te whakarea 1000 ki te tau huripoki o \frac{282038}{4305}.

$$\frac{1}{26353376}\times 1000\times \frac{4305}{282038}$$

Tuhia te 1000\times \frac{4305}{282038} hei hautanga kotahi.

$$\frac{1}{26353376}\times \frac{1000\times 4305}{282038}$$

Whakareatia te 1000 ki te 4305, ka 4305000.

$$\frac{1}{26353376}\times \frac{4305000}{282038}$$

Whakahekea te hautanga \frac{4305000}{282038} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{1}{26353376}\times \frac{2152500}{141019}$$

Me whakarea te \frac{1}{26353376} ki te \frac{2152500}{141019} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{1\times 2152500}{26353376\times 141019}$$

Mahia ngā whakarea i roto i te hautanga \frac{1\times 2152500}{26353376\times 141019}.

$$\frac{2152500}{3716326730144}$$

Whakahekea te hautanga \frac{2152500}{3716326730144} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 28.

$$\frac{76875}{132725954648}$$

Tauwehe

$$\frac{3 \cdot 41 \cdot 5 ^ {4}}{31 \cdot 4549 \cdot 2 ^ {3} \cdot 7 ^ {6}} = 5.792009573702352 \times 10^{-7}$$