frac{-(3^{2}*2)^{-4}*3^{4}}{(2*3)^{3}*2^2*3^3-(2^3-3)^-4} eching

$$\frac { - ( 3 ^ { 2 } \cdot 2 ) ^ { - 4 } \cdot 3 ^ { 4 } } { ( 2 \cdot 3 ) ^ { 3 } \cdot 2 ^ { 2 } \cdot 3 ^ { 3 } - ( 2 ^ { 3 } - 3 ) ^ { - 4 } }$$

Baholash

$$-\frac{625}{18895678704}\approx -0,000000033$$

Yechim qadamlari

2 daraja ko‘rsatkichini 3 ga hisoblang va 9 ni qiymatni oling.

$$\frac{\left(-\left(9\times 2\right)^{-4}\right)\times 3^{4}}{\left(2\times 3\right)^{3}\times 2^{2}\times 3^{3}-\left(2^{3}-3\right)^{-4}}$$

18 hosil qilish uchun 9 va 2 ni ko'paytirish.

$$\frac{\left(-18^{-4}\right)\times 3^{4}}{\left(2\times 3\right)^{3}\times 2^{2}\times 3^{3}-\left(2^{3}-3\right)^{-4}}$$

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

$$\frac{-\frac{1}{104976}\times 3^{4}}{\left(2\times 3\right)^{3}\times 2^{2}\times 3^{3}-\left(2^{3}-3\right)^{-4}}$$

4 daraja ko‘rsatkichini 3 ga hisoblang va 81 ni qiymatni oling.

$$\frac{-\frac{1}{104976}\times 81}{\left(2\times 3\right)^{3}\times 2^{2}\times 3^{3}-\left(2^{3}-3\right)^{-4}}$$

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

$$\frac{-\frac{1}{1296}}{\left(2\times 3\right)^{3}\times 2^{2}\times 3^{3}-\left(2^{3}-3\right)^{-4}}$$

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

$$\frac{-\frac{1}{1296}}{6^{3}\times 2^{2}\times 3^{3}-\left(2^{3}-3\right)^{-4}}$$

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

$$\frac{-\frac{1}{1296}}{216\times 2^{2}\times 3^{3}-\left(2^{3}-3\right)^{-4}}$$

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

$$\frac{-\frac{1}{1296}}{216\times 4\times 3^{3}-\left(2^{3}-3\right)^{-4}}$$

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

$$\frac{-\frac{1}{1296}}{864\times 3^{3}-\left(2^{3}-3\right)^{-4}}$$

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

$$\frac{-\frac{1}{1296}}{864\times 27-\left(2^{3}-3\right)^{-4}}$$

23328 hosil qilish uchun 864 va 27 ni ko'paytirish.

$$\frac{-\frac{1}{1296}}{23328-\left(2^{3}-3\right)^{-4}}$$

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

$$\frac{-\frac{1}{1296}}{23328-\left(8-3\right)^{-4}}$$

5 olish uchun 8 dan 3 ni ayirish.

$$\frac{-\frac{1}{1296}}{23328-5^{-4}}$$

-4 daraja ko‘rsatkichini 5 ga hisoblang va \frac{1}{625} ni qiymatni oling.

$$\frac{-\frac{1}{1296}}{23328-\frac{1}{625}}$$

\frac{14579999}{625} olish uchun 23328 dan \frac{1}{625} ni ayirish.

$$\frac{-\frac{1}{1296}}{\frac{14579999}{625}}$$

-\frac{1}{1296} ni \frac{14579999}{625} ga bo'lish -\frac{1}{1296} ga k'paytirish \frac{14579999}{625} ga qaytarish.

$$-\frac{1}{1296}\times \frac{625}{14579999}$$

-\frac{625}{18895678704} hosil qilish uchun -\frac{1}{1296} va \frac{625}{14579999} ni ko'paytirish.

$$-\frac{625}{18895678704}$$

Omil

$$-\frac{625}{18895678704} = -3,307634564445122 \times 10^{-8}$$