(frac{2^{2}*3^{5}*4^2}{2^4*3^2})^2 eching

$$( \frac { 2 ^ { 2 } * 3 ^ { 5 } * 4 ^ { 2 } } { 2 ^ { 4 } * 3 ^ { 2 } } ) ^ { 2 }$$

Baholash

$$11664$$

Yechim qadamlari

Surat va maxrajdagi ikkala 2^{2}\times 3^{2} ni qisqartiring.

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

3 daraja ko‘rsatkichini 3 ga hisoblang va 27 ni qiymatni oling.

$$\left(\frac{27\times 4^{2}}{2^{2}}\right)^{2}$$

2 daraja ko‘rsatkichini 4 ga hisoblang va 16 ni qiymatni oling.

$$\left(\frac{27\times 16}{2^{2}}\right)^{2}$$

432 hosil qilish uchun 27 va 16 ni ko'paytirish.

$$\left(\frac{432}{2^{2}}\right)^{2}$$

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

$$\left(\frac{432}{4}\right)^{2}$$

108 ni olish uchun 432 ni 4 ga bo‘ling.

$$108^{2}$$

2 daraja ko‘rsatkichini 108 ga hisoblang va 11664 ni qiymatni oling.

$$11664$$

Omil

$$2^{4}\times 3^{6}$$