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

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

Baholash

$$4$$

Yechim qadamlari

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

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

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

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

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

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

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

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

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

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

\frac{2}{9} hosil qilish uchun 2 va \frac{1}{9} ni ko'paytirish.

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

\frac{4}{9} ni \frac{2}{9} ga bo'lish \frac{4}{9} ga k'paytirish \frac{2}{9} ga qaytarish.

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

2 hosil qilish uchun \frac{4}{9} va \frac{9}{2} ni ko'paytirish.

$$2^{2}$$

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

$$4$$

Omil

$$2^{2}$$