lfloor4^7*4^10*4^2rfloordiv(4^5){7}^ eching

$$\lfloor { 4 }^{ 7 } \times { 4 }^{ 10 } \times { 4 }^{ 2 } \rfloor \div ( { 4 }^{ 5 } ) { 7 }^{ }$$

Baholash

$$1879048192$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 7 va 10 ni qo‘shib, 17 ni oling.

$$\frac{\lfloor 4^{17}\times 4^{2}\rfloor }{4^{5}}\times 7^{1}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 17 va 2 ni qo‘shib, 19 ni oling.

$$\frac{\lfloor 4^{19}\rfloor }{4^{5}}\times 7^{1}$$

19 daraja ko‘rsatkichini 4 ga hisoblang va 274877906944 ni qiymatni oling.

$$\frac{\lfloor 274877906944\rfloor }{4^{5}}\times 7^{1}$$

a haqiqiy sonning pol funksiyasi a dan kichik eng katta butun songa yoki o‘ziga teng. 274877906944 ning poli 274877906944 ga teng.

$$\frac{274877906944}{4^{5}}\times 7^{1}$$

5 daraja ko‘rsatkichini 4 ga hisoblang va 1024 ni qiymatni oling.

$$\frac{274877906944}{1024}\times 7^{1}$$

268435456 ni olish uchun 274877906944 ni 1024 ga bo‘ling.

$$268435456\times 7^{1}$$

1 daraja ko‘rsatkichini 7 ga hisoblang va 7 ni qiymatni oling.

$$268435456\times 7$$

1879048192 hosil qilish uchun 268435456 va 7 ni ko'paytirish.

$$1879048192$$

Omil

$$2^{28}\times 7$$