2*3*4^5*4^5*6^-3 eching

$$2 \cdot 3 \cdot 4 ^ { 5 } \cdot 4 ^ { 5 } \cdot 6 ^ { - 3 }$$

Baholash

$$\frac{262144}{9}\approx 29127,111111111$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 5 va 5 ni qo‘shib, 10 ni oling.

$$2\times 3\times 4^{10}\times 6^{-3}$$

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

$$6\times 4^{10}\times 6^{-3}$$

10 daraja ko‘rsatkichini 4 ga hisoblang va 1048576 ni qiymatni oling.

$$6\times 1048576\times 6^{-3}$$

6291456 hosil qilish uchun 6 va 1048576 ni ko'paytirish.

$$6291456\times 6^{-3}$$

-3 daraja ko‘rsatkichini 6 ga hisoblang va \frac{1}{216} ni qiymatni oling.

$$6291456\times \frac{1}{216}$$

\frac{262144}{9} hosil qilish uchun 6291456 va \frac{1}{216} ni ko'paytirish.

$$\frac{262144}{9}$$

Omil

$$\frac{2 ^ {18}}{3 ^ {2}} = 29127\frac{1}{9} = 29127,11111111111$$