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

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

Baholash

$$81$$

Yechim qadamlari

Surat va maxrajdagi ikkala \left(\frac{1}{3}\right)^{2} ni qisqartiring.

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

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

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

4 daraja ko‘rsatkichini 3 ga hisoblang va 81 ni qiymatni oling.

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

9 hosil qilish uchun \frac{1}{9} va 81 ni ko'paytirish.

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

3 daraja ko‘rsatkichini \frac{1}{2} ga hisoblang va \frac{1}{8} ni qiymatni oling.

$$\left(\frac{9}{\frac{1}{8}\times 2^{3}}\right)^{2}$$

3 daraja ko‘rsatkichini 2 ga hisoblang va 8 ni qiymatni oling.

$$\left(\frac{9}{\frac{1}{8}\times 8}\right)^{2}$$

1 hosil qilish uchun \frac{1}{8} va 8 ni ko'paytirish.

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

Har qanday son birga bo‘linganda, natija o‘zi chiqadi.

$$9^{2}$$

2 daraja ko‘rsatkichini 9 ga hisoblang va 81 ni qiymatni oling.

$$81$$

Omil

$$3^{4}$$