[(1/5)^3(1/5)^4]^frac{2{7}} eching

$$[ ( \frac { 1 } { 5 } ) ^ { 3 } ( \frac { 1 } { 5 } ) ^ { 4 } ] ^ { \frac { 2 } { 7 } }$$

Baholash

$$\frac{1}{25}=0,04$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 3 va 4 ni qo‘shib, 7 ni oling.

$$\left(\left(\frac{1}{5}\right)^{7}\right)^{\frac{2}{7}}$$

7 daraja ko‘rsatkichini \frac{1}{5} ga hisoblang va \frac{1}{78125} ni qiymatni oling.

$$\left(\frac{1}{78125}\right)^{\frac{2}{7}}$$

\frac{2}{7} daraja ko‘rsatkichini \frac{1}{78125} ga hisoblang va \frac{1}{25} ni qiymatni oling.

$$\frac{1}{25}$$

Omil

$$\frac{1}{5 ^ {2}} = 0,04$$