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

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

Baholash

$$\frac{8}{729}\approx 0,010973937$$

Yechim qadamlari

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

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

Surat va maxrajdagi ikkala 27 ni qisqartiring.

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

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

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

\frac{1}{34992} hosil qilish uchun 3 va \frac{1}{104976} ni ko'paytirish.

$$\frac{\frac{1}{34992}}{4\times 6^{3}\times 24^{-4}}$$

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

$$\frac{\frac{1}{34992}}{4\times 216\times 24^{-4}}$$

864 hosil qilish uchun 4 va 216 ni ko'paytirish.

$$\frac{\frac{1}{34992}}{864\times 24^{-4}}$$

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

$$\frac{\frac{1}{34992}}{864\times \frac{1}{331776}}$$

\frac{1}{384} hosil qilish uchun 864 va \frac{1}{331776} ni ko'paytirish.

$$\frac{\frac{1}{34992}}{\frac{1}{384}}$$

\frac{1}{34992} ni \frac{1}{384} ga bo'lish \frac{1}{34992} ga k'paytirish \frac{1}{384} ga qaytarish.

$$\frac{1}{34992}\times 384$$

\frac{8}{729} hosil qilish uchun \frac{1}{34992} va 384 ni ko'paytirish.

$$\frac{8}{729}$$

Omil

$$\frac{2 ^ {3}}{3 ^ {6}} = 0,010973936899862825$$