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

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

Baholash

$$9$$

Yechim qadamlari

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

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

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

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

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

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

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

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

9 ni olish uchun 81 ni 9 ga bo‘ling.

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

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

$$\frac{9}{\frac{1}{8}\times 2^{3}}$$

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

$$\frac{9}{\frac{1}{8}\times 8}$$

8 va 8 ni qisqartiring.

$$\frac{9}{1}$$

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

$$9$$

Omil

$$3^{2}$$