Whakaoti i te 45*30/100*22/7[(14)^2*22+4/3*(14)^3]

$$45 \times \frac { 30 } { 100 } \times \frac { 22 } { 7 } [ ( 14 ) ^ { 2 } \times 22 + \frac { 4 } { 3 } \times ( 14 ) ^ { 3 } ]$$

Aromātai

$$338184$$

Ngā Upane Otinga

Whakahekea te hautanga \frac{30}{100} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 10.

$$45\times \frac{3}{10}\times \frac{22}{7}\left(14^{2}\times 22+\frac{4}{3}\times 14^{3}\right)$$

Tuhia te 45\times \frac{3}{10} hei hautanga kotahi.

$$\frac{45\times 3}{10}\times \frac{22}{7}\left(14^{2}\times 22+\frac{4}{3}\times 14^{3}\right)$$

Whakareatia te 45 ki te 3, ka 135.

$$\frac{135}{10}\times \frac{22}{7}\left(14^{2}\times 22+\frac{4}{3}\times 14^{3}\right)$$

Whakahekea te hautanga \frac{135}{10} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$\frac{27}{2}\times \frac{22}{7}\left(14^{2}\times 22+\frac{4}{3}\times 14^{3}\right)$$

Me whakarea te \frac{27}{2} ki te \frac{22}{7} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{27\times 22}{2\times 7}\left(14^{2}\times 22+\frac{4}{3}\times 14^{3}\right)$$

Mahia ngā whakarea i roto i te hautanga \frac{27\times 22}{2\times 7}.

$$\frac{594}{14}\left(14^{2}\times 22+\frac{4}{3}\times 14^{3}\right)$$

Whakahekea te hautanga \frac{594}{14} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{297}{7}\left(14^{2}\times 22+\frac{4}{3}\times 14^{3}\right)$$

Tātaihia te 14 mā te pū o 2, kia riro ko 196.

$$\frac{297}{7}\left(196\times 22+\frac{4}{3}\times 14^{3}\right)$$

Whakareatia te 196 ki te 22, ka 4312.

$$\frac{297}{7}\left(4312+\frac{4}{3}\times 14^{3}\right)$$

Tātaihia te 14 mā te pū o 3, kia riro ko 2744.

$$\frac{297}{7}\left(4312+\frac{4}{3}\times 2744\right)$$

Tuhia te \frac{4}{3}\times 2744 hei hautanga kotahi.

$$\frac{297}{7}\left(4312+\frac{4\times 2744}{3}\right)$$

Whakareatia te 4 ki te 2744, ka 10976.

$$\frac{297}{7}\left(4312+\frac{10976}{3}\right)$$

Me tahuri te 4312 ki te hautau \frac{12936}{3}.

$$\frac{297}{7}\left(\frac{12936}{3}+\frac{10976}{3}\right)$$

Tā te mea he rite te tauraro o \frac{12936}{3} me \frac{10976}{3}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{297}{7}\times \frac{12936+10976}{3}$$

Tāpirihia te 12936 ki te 10976, ka 23912.

$$\frac{297}{7}\times \frac{23912}{3}$$

Me whakarea te \frac{297}{7} ki te \frac{23912}{3} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{297\times 23912}{7\times 3}$$

Mahia ngā whakarea i roto i te hautanga \frac{297\times 23912}{7\times 3}.

$$\frac{7101864}{21}$$

Whakawehea te 7101864 ki te 21, kia riro ko 338184.

$$338184$$

Tauwehe

$$2^{3}\times 3^{2}\times 7\times 11\times 61$$