[frac{4^{3}}{4}]^3*[2^3]^2*[2*3]^2 eching

$$[ \frac { 4 ^ { 3 } } { 4 } ] ^ { 3 } \times [ 2 ^ { 3 } ] ^ { 2 } \times [ 2 \times 3 ] ^ { 2 }$$

Baholash

$$9437184$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichini bo‘lish uchun maxrajning darajasini surat darajasidan ayiring. 3 dan 1 ni ayirib, 2 ni oling.

$$\left(4^{2}\right)^{3}\times \left(2^{3}\right)^{2}\times \left(2\times 3\right)^{2}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va 3 ni ko‘paytirib, 6 ni oling.

$$4^{6}\times \left(2^{3}\right)^{2}\times \left(2\times 3\right)^{2}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 3 va 2 ni ko‘paytirib, 6 ni oling.

$$4^{6}\times 2^{6}\times \left(2\times 3\right)^{2}$$

6 daraja ko‘rsatkichini 4 ga hisoblang va 4096 ni qiymatni oling.

$$4096\times 2^{6}\times \left(2\times 3\right)^{2}$$

6 daraja ko‘rsatkichini 2 ga hisoblang va 64 ni qiymatni oling.

$$4096\times 64\times \left(2\times 3\right)^{2}$$

262144 hosil qilish uchun 4096 va 64 ni ko'paytirish.

$$262144\times \left(2\times 3\right)^{2}$$

6 hosil qilish uchun 2 va 3 ni ko'paytirish.

$$262144\times 6^{2}$$

2 daraja ko‘rsatkichini 6 ga hisoblang va 36 ni qiymatni oling.

$$262144\times 36$$

9437184 hosil qilish uchun 262144 va 36 ni ko'paytirish.

$$9437184$$

Omil

$$2^{20}\times 3^{2}$$