Whakaoti i te 16!/8!*2!*2!*2!

$$\frac{ 16 ! }{ 8 ! \times 2 ! \times 2 ! \times 2 ! }$$

Aromātai

$$64864800$$

Ngā Upane Otinga

Whakareatia te 2! ki te 2!, ka \left(2!\right)^{2}.

$$\frac{16!}{8!\times \left(2!\right)^{2}\times 2!}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 2 me te 1 kia riro ai te 3.

$$\frac{16!}{8!\times \left(2!\right)^{3}}$$

Ko te huarea o 16 ko 20922789888000.

$$\frac{20922789888000}{8!\times \left(2!\right)^{3}}$$

Ko te huarea o 8 ko 40320.

$$\frac{20922789888000}{40320\times \left(2!\right)^{3}}$$

Ko te huarea o 2 ko 2.

$$\frac{20922789888000}{40320\times 2^{3}}$$

Tātaihia te 2 mā te pū o 3, kia riro ko 8.

$$\frac{20922789888000}{40320\times 8}$$

Whakareatia te 40320 ki te 8, ka 322560.

$$\frac{20922789888000}{322560}$$

Whakawehea te 20922789888000 ki te 322560, kia riro ko 64864800.

$$64864800$$

Tauwehe

$$2^{5}\times 3^{4}\times 5^{2}\times 7\times 11\times 13$$