Whakaoti i te frac{12^{4}*12^{7}+frac{36^{11}}{3^{11}}}{12^15/12^11+2^11*6^11}

$$\frac { 12 ^ { 4 } \cdot 12 ^ { 7 } + \frac { 36 ^ { 11 } } { 3 ^ { 11 } } } { \frac { 12 ^ { 15 } } { 12 ^ { 11 } } + 2 ^ { 11 } \cdot 6 ^ { 11 } }$$

Aromātai

$$\frac{71663616}{35831809}\approx 1.999999944$$

Ngā Upane Otinga

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 4 me te 7 kia riro ai te 11.

$$\frac{12^{11}+\frac{36^{11}}{3^{11}}}{\frac{12^{15}}{12^{11}}+2^{11}\times 6^{11}}$$

Hei whakawehe ngā pū o te pūtake kotahi, tangohia te taupū o te tauraro mai i te taupū o te taurunga. Me tango te 11 i te 15 kia riro ai te 4.

$$\frac{12^{11}+\frac{36^{11}}{3^{11}}}{12^{4}+2^{11}\times 6^{11}}$$

Tātaihia te 12 mā te pū o 11, kia riro ko 743008370688.

$$\frac{743008370688+\frac{36^{11}}{3^{11}}}{12^{4}+2^{11}\times 6^{11}}$$

Tātaihia te 36 mā te pū o 11, kia riro ko 131621703842267136.

$$\frac{743008370688+\frac{131621703842267136}{3^{11}}}{12^{4}+2^{11}\times 6^{11}}$$

Tātaihia te 3 mā te pū o 11, kia riro ko 177147.

$$\frac{743008370688+\frac{131621703842267136}{177147}}{12^{4}+2^{11}\times 6^{11}}$$

Whakawehea te 131621703842267136 ki te 177147, kia riro ko 743008370688.

$$\frac{743008370688+743008370688}{12^{4}+2^{11}\times 6^{11}}$$

Tāpirihia te 743008370688 ki te 743008370688, ka 1486016741376.

$$\frac{1486016741376}{12^{4}+2^{11}\times 6^{11}}$$

Tātaihia te 12 mā te pū o 4, kia riro ko 20736.

$$\frac{1486016741376}{20736+2^{11}\times 6^{11}}$$

Tātaihia te 2 mā te pū o 11, kia riro ko 2048.

$$\frac{1486016741376}{20736+2048\times 6^{11}}$$

Tātaihia te 6 mā te pū o 11, kia riro ko 362797056.

$$\frac{1486016741376}{20736+2048\times 362797056}$$

Whakareatia te 2048 ki te 362797056, ka 743008370688.

$$\frac{1486016741376}{20736+743008370688}$$

Tāpirihia te 20736 ki te 743008370688, ka 743008391424.

$$\frac{1486016741376}{743008391424}$$

Whakahekea te hautanga \frac{1486016741376}{743008391424} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 20736.

$$\frac{71663616}{35831809}$$

Tauwehe

$$\frac{2 ^ {15} \cdot 3 ^ {7}}{13 \cdot 211 \cdot 13063} = 1\frac{35831807}{35831809} = 1.9999999441836722$$