((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

$$\frac{16}{1369}\approx 0,011687363$$

Yechim qadamlari

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

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

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

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

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

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

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

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

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

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

\frac{37}{9} olish uchun 4 va \frac{1}{9}'ni qo'shing.

$$\left(\frac{\frac{4}{9}}{\frac{37}{9}}\right)^{2}$$

\frac{4}{9} ni \frac{37}{9} ga bo'lish \frac{4}{9} ga k'paytirish \frac{37}{9} ga qaytarish.

$$\left(\frac{4}{9}\times \frac{9}{37}\right)^{2}$$

\frac{4}{37} hosil qilish uchun \frac{4}{9} va \frac{9}{37} ni ko'paytirish.

$$\left(\frac{4}{37}\right)^{2}$$

2 daraja ko‘rsatkichini \frac{4}{37} ga hisoblang va \frac{16}{1369} ni qiymatni oling.

$$\frac{16}{1369}$$

Omil

$$\frac{2 ^ {4}}{37 ^ {2}} = 0,01168736303871439$$