Q=((2^{2})^{2})^{2}*2^{2^{2}}*(2^{3})^{3^3}*(2^2^2)^3 eching

$$Q = ( ( 2 ^ { 2 } ) ^ { 2 } ) ^ { 2 } \cdot 2 ^ { 2 ^ { 2 } } \cdot ( 2 ^ { 3 } ) ^ { 3 ^ { 3 } } \cdot ( 2 ^ { 2 ^ { 2 } } ) ^ { 3 }$$

Q uchun yechish

$$Q=40564819207303340847894502572032$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va 2 ni ko‘paytirib, 4 ni oling.

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

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 4 va 2 ni ko‘paytirib, 8 ni oling.

$$Q=2^{8}\times 2^{2^{2}}\times \left(2^{3}\right)^{3^{3}}\times \left(2^{2^{2}}\right)^{3}$$

8 daraja ko‘rsatkichini 2 ga hisoblang va 256 ni qiymatni oling.

$$Q=256\times 2^{2^{2}}\times \left(2^{3}\right)^{3^{3}}\times \left(2^{2^{2}}\right)^{3}$$

2 daraja ko‘rsatkichini 2 ga hisoblang va 4 ni qiymatni oling.

$$Q=256\times 2^{4}\times \left(2^{3}\right)^{3^{3}}\times \left(2^{2^{2}}\right)^{3}$$

4 daraja ko‘rsatkichini 2 ga hisoblang va 16 ni qiymatni oling.

$$Q=256\times 16\times \left(2^{3}\right)^{3^{3}}\times \left(2^{2^{2}}\right)^{3}$$

4096 hosil qilish uchun 256 va 16 ni ko'paytirish.

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

3 daraja ko‘rsatkichini 2 ga hisoblang va 8 ni qiymatni oling.

$$Q=4096\times 8^{3^{3}}\times \left(2^{2^{2}}\right)^{3}$$

3 daraja ko‘rsatkichini 3 ga hisoblang va 27 ni qiymatni oling.

$$Q=4096\times 8^{27}\times \left(2^{2^{2}}\right)^{3}$$

27 daraja ko‘rsatkichini 8 ga hisoblang va 2417851639229258349412352 ni qiymatni oling.

$$Q=4096\times 2417851639229258349412352\times \left(2^{2^{2}}\right)^{3}$$

9903520314283042199192993792 hosil qilish uchun 4096 va 2417851639229258349412352 ni ko'paytirish.

$$Q=9903520314283042199192993792\times \left(2^{2^{2}}\right)^{3}$$

2 daraja ko‘rsatkichini 2 ga hisoblang va 4 ni qiymatni oling.

$$Q=9903520314283042199192993792\times \left(2^{4}\right)^{3}$$

4 daraja ko‘rsatkichini 2 ga hisoblang va 16 ni qiymatni oling.

$$Q=9903520314283042199192993792\times 16^{3}$$

3 daraja ko‘rsatkichini 16 ga hisoblang va 4096 ni qiymatni oling.

$$Q=9903520314283042199192993792\times 4096$$

40564819207303340847894502572032 hosil qilish uchun 9903520314283042199192993792 va 4096 ni ko'paytirish.

$$Q=40564819207303340847894502572032$$

Q'ni tayinlash

$$Q≔40564819207303340847894502572032$$