frac{(-27)^{3}(32)^{-2}(-8)^{4}(25^2)}{(-72)^4(-50^3)^4} eching

$$\frac { ( - 27 ) ^ { 3 } ( 32 ) ^ { - 2 } ( - 8 ) ^ { 4 } ( 25 ^ { 2 } ) } { ( - 72 ) ^ { 4 } ( - 50 ^ { 3 } ) ^ { 4 } }$$

Baholash

$$-\frac{3}{400000000000000000000}=-7,5 \cdot 10^{-21}$$

Yechim qadamlari

3 daraja ko‘rsatkichini -27 ga hisoblang va -19683 ni qiymatni oling.

$$\frac{-19683\times 32^{-2}\left(-8\right)^{4}\times 25^{2}}{\left(-72\right)^{4}\left(-50^{3}\right)^{4}}$$

-2 daraja ko‘rsatkichini 32 ga hisoblang va \frac{1}{1024} ni qiymatni oling.

$$\frac{-19683\times \frac{1}{1024}\left(-8\right)^{4}\times 25^{2}}{\left(-72\right)^{4}\left(-50^{3}\right)^{4}}$$

-\frac{19683}{1024} hosil qilish uchun -19683 va \frac{1}{1024} ni ko'paytirish.

$$\frac{-\frac{19683}{1024}\left(-8\right)^{4}\times 25^{2}}{\left(-72\right)^{4}\left(-50^{3}\right)^{4}}$$

4 daraja ko‘rsatkichini -8 ga hisoblang va 4096 ni qiymatni oling.

$$\frac{-\frac{19683}{1024}\times 4096\times 25^{2}}{\left(-72\right)^{4}\left(-50^{3}\right)^{4}}$$

-78732 hosil qilish uchun -\frac{19683}{1024} va 4096 ni ko'paytirish.

$$\frac{-78732\times 25^{2}}{\left(-72\right)^{4}\left(-50^{3}\right)^{4}}$$

2 daraja ko‘rsatkichini 25 ga hisoblang va 625 ni qiymatni oling.

$$\frac{-78732\times 625}{\left(-72\right)^{4}\left(-50^{3}\right)^{4}}$$

-49207500 hosil qilish uchun -78732 va 625 ni ko'paytirish.

$$\frac{-49207500}{\left(-72\right)^{4}\left(-50^{3}\right)^{4}}$$

4 daraja ko‘rsatkichini -72 ga hisoblang va 26873856 ni qiymatni oling.

$$\frac{-49207500}{26873856\left(-50^{3}\right)^{4}}$$

3 daraja ko‘rsatkichini 50 ga hisoblang va 125000 ni qiymatni oling.

$$\frac{-49207500}{26873856\left(-125000\right)^{4}}$$

4 daraja ko‘rsatkichini -125000 ga hisoblang va 244140625000000000000 ni qiymatni oling.

$$\frac{-49207500}{26873856\times 244140625000000000000}$$

6561000000000000000000000000 hosil qilish uchun 26873856 va 244140625000000000000 ni ko'paytirish.

$$\frac{-49207500}{6561000000000000000000000000}$$

\frac{-49207500}{6561000000000000000000000000} ulushini 16402500 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$-\frac{3}{400000000000000000000}$$

Omil

$$-\frac{3}{400000000000000000000} = -7,500000000000002 \times 10^{-21}$$