(18^2)^-2*81/6^3+108*24^-4 eching

$$\frac { ( 18 ^ { 2 } ) ^ { - 2 } \cdot 81 } { 6 ^ { 3 } + 108 \cdot 24 ^ { - 4 } }$$

Baholash

$$\frac{64}{17915931}\approx 0,000003572$$

Yechim qadamlari

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

$$\frac{18^{-4}\times 81}{6^{3}+108\times 24^{-4}}$$

-4 daraja ko‘rsatkichini 18 ga hisoblang va \frac{1}{104976} ni qiymatni oling.

$$\frac{\frac{1}{104976}\times 81}{6^{3}+108\times 24^{-4}}$$

\frac{1}{1296} hosil qilish uchun \frac{1}{104976} va 81 ni ko'paytirish.

$$\frac{\frac{1}{1296}}{6^{3}+108\times 24^{-4}}$$

3 daraja ko‘rsatkichini 6 ga hisoblang va 216 ni qiymatni oling.

$$\frac{\frac{1}{1296}}{216+108\times 24^{-4}}$$

-4 daraja ko‘rsatkichini 24 ga hisoblang va \frac{1}{331776} ni qiymatni oling.

$$\frac{\frac{1}{1296}}{216+108\times \frac{1}{331776}}$$

\frac{1}{3072} hosil qilish uchun 108 va \frac{1}{331776} ni ko'paytirish.

$$\frac{\frac{1}{1296}}{216+\frac{1}{3072}}$$

\frac{663553}{3072} olish uchun 216 va \frac{1}{3072}'ni qo'shing.

$$\frac{\frac{1}{1296}}{\frac{663553}{3072}}$$

\frac{1}{1296} ni \frac{663553}{3072} ga bo'lish \frac{1}{1296} ga k'paytirish \frac{663553}{3072} ga qaytarish.

$$\frac{1}{1296}\times \frac{3072}{663553}$$

\frac{64}{17915931} hosil qilish uchun \frac{1}{1296} va \frac{3072}{663553} ni ko'paytirish.

$$\frac{64}{17915931}$$

Omil

$$\frac{2 ^ {6}}{3 ^ {3} \cdot 11 \cdot 179 \cdot 337} = 3,5722397010794475 \times 10^{-6}$$