((frac{2/3)^{4}(3/2)^2}{2^2*(1/3)^2})^2 eching

$$( \frac { ( \frac { 2 } { 3 } ) ^ { 4 } ( \frac { 3 } { 2 } ) ^ { 2 } } { 2 ^ { 2 } * ( \frac { 1 } { 3 } ) ^ { 2 } } ) ^ { 2 }$$

Baholash

$$1$$

Yechim qadamlari

4 daraja ko‘rsatkichini \frac{2}{3} ga hisoblang va \frac{16}{81} ni qiymatni oling.

$$\left(\frac{\frac{16}{81}\times \left(\frac{3}{2}\right)^{2}}{2^{2}\times \left(\frac{1}{3}\right)^{2}}\right)^{2}$$

2 daraja ko‘rsatkichini \frac{3}{2} ga hisoblang va \frac{9}{4} ni qiymatni oling.

$$\left(\frac{\frac{16}{81}\times \frac{9}{4}}{2^{2}\times \left(\frac{1}{3}\right)^{2}}\right)^{2}$$

\frac{4}{9} hosil qilish uchun \frac{16}{81} va \frac{9}{4} ni ko'paytirish.

$$\left(\frac{\frac{4}{9}}{2^{2}\times \left(\frac{1}{3}\right)^{2}}\right)^{2}$$

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

$$\left(\frac{\frac{4}{9}}{4\times \left(\frac{1}{3}\right)^{2}}\right)^{2}$$

2 daraja ko‘rsatkichini \frac{1}{3} ga hisoblang va \frac{1}{9} ni qiymatni oling.

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

\frac{4}{9} hosil qilish uchun 4 va \frac{1}{9} ni ko'paytirish.

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

1 ni olish uchun \frac{4}{9} ni \frac{4}{9} ga bo‘ling.

$$1^{2}$$

2 daraja ko‘rsatkichini 1 ga hisoblang va 1 ni qiymatni oling.

$$1$$

Omil

$$1$$