3^{-3}*3^-3*2^-3*2^2*5^2 eching

$$3 ^ { - 3 } \times 3 ^ { - 3 } \times 2 ^ { - 3 } \times 2 ^ { 2 } \times 5 ^ { 2 }$$

Baholash

$$\frac{25}{1458}\approx 0,017146776$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. -3 va -3 ni qo‘shib, -6 ni oling.

$$3^{-6}\times 2^{-3}\times 2^{2}\times 5^{2}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. -3 va 2 ni qo‘shib, -1 ni oling.

$$3^{-6}\times 2^{-1}\times 5^{2}$$

-6 daraja ko‘rsatkichini 3 ga hisoblang va \frac{1}{729} ni qiymatni oling.

$$\frac{1}{729}\times 2^{-1}\times 5^{2}$$

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

$$\frac{1}{729}\times \frac{1}{2}\times 5^{2}$$

\frac{1}{1458} hosil qilish uchun \frac{1}{729} va \frac{1}{2} ni ko'paytirish.

$$\frac{1}{1458}\times 5^{2}$$

2 daraja ko‘rsatkichini 5 ga hisoblang va 25 ni qiymatni oling.

$$\frac{1}{1458}\times 25$$

\frac{25}{1458} hosil qilish uchun \frac{1}{1458} va 25 ni ko'paytirish.

$$\frac{25}{1458}$$

Omil

$$\frac{5 ^ {2}}{2 \cdot 3 ^ {6}} = 0,017146776406035666$$