Whakaoti i te (7^{10}div7)^6*(10^5*2^4*2)^3=

$$( 7 ^ { 10 } \div 7 ) ^ { 6 } \cdot ( 10 ^ { 5 } \cdot 2 ^ { 4 } \cdot 2 ) ^ { 3 } =$$

Aromātai

$$141495978144446433330308484225686833972912090284032000000000000000$$

Ngā Upane Otinga

Hei whakawehe ngā pū o te pūtake kotahi, tangohia te taupū o te tauraro mai i te taupū o te taurunga. Me tango te 1 i te 10 kia riro ai te 9.

$$\left(7^{9}\right)^{6}\times \left(10^{5}\times 2^{4}\times 2\right)^{3}$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 9 me te 6 kia riro ai te 54.

$$7^{54}\times \left(10^{5}\times 2^{4}\times 2\right)^{3}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 4 me te 1 kia riro ai te 5.

$$7^{54}\times \left(10^{5}\times 2^{5}\right)^{3}$$

Tātaihia te 7 mā te pū o 54, kia riro ko 4318114567396436564035293097707728087552248849.

$$4318114567396436564035293097707728087552248849\times \left(10^{5}\times 2^{5}\right)^{3}$$

Tātaihia te 10 mā te pū o 5, kia riro ko 100000.

$$4318114567396436564035293097707728087552248849\times \left(100000\times 2^{5}\right)^{3}$$

Tātaihia te 2 mā te pū o 5, kia riro ko 32.

$$4318114567396436564035293097707728087552248849\times \left(100000\times 32\right)^{3}$$

Whakareatia te 100000 ki te 32, ka 3200000.

$$4318114567396436564035293097707728087552248849\times 3200000^{3}$$

Tātaihia te 3200000 mā te pū o 3, kia riro ko 32768000000000000000.

$$4318114567396436564035293097707728087552248849\times 32768000000000000000$$

Whakareatia te 4318114567396436564035293097707728087552248849 ki te 32768000000000000000, ka 141495978144446433330308484225686833972912090284032000000000000000.

$$141495978144446433330308484225686833972912090284032000000000000000$$

Tauwehe

$$2^{30}\times 5^{15}\times 7^{54}$$