[frac{(2^{2})^{2}+3^2}{2^2*3^2}]^-frac{1{2}} eching

$$[ \frac { ( 2 ^ { 2 } ) ^ { 2 } + 3 ^ { 2 } } { 2 ^ { 2 } \cdot 3 ^ { 2 } } ] ^ { - \frac { 1 } { 2 } }$$

Baholash

$$\frac{6}{5}=1,2$$

Yechim qadamlari

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

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

4 daraja ko‘rsatkichini 2 ga hisoblang va 16 ni qiymatni oling.

$$\left(\frac{16+3^{2}}{2^{2}\times 3^{2}}\right)^{-\frac{1}{2}}$$

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

$$\left(\frac{16+9}{2^{2}\times 3^{2}}\right)^{-\frac{1}{2}}$$

25 olish uchun 16 va 9'ni qo'shing.

$$\left(\frac{25}{2^{2}\times 3^{2}}\right)^{-\frac{1}{2}}$$

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

$$\left(\frac{25}{4\times 3^{2}}\right)^{-\frac{1}{2}}$$

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

$$\left(\frac{25}{4\times 9}\right)^{-\frac{1}{2}}$$

36 hosil qilish uchun 4 va 9 ni ko'paytirish.

$$\left(\frac{25}{36}\right)^{-\frac{1}{2}}$$

-\frac{1}{2} daraja ko‘rsatkichini \frac{25}{36} ga hisoblang va \frac{6}{5} ni qiymatni oling.

$$\frac{6}{5}$$

Omil

$$\frac{2 \cdot 3}{5} = 1\frac{1}{5} = 1,2$$