sqrt[2^3]{3^5*9*27^3/81^2} eching

$$\sqrt[ 2 ^ { 3 } ] { \frac { 3 ^ { 5 } \cdot 9 \cdot 27 ^ { 3 } } { 81 ^ { 2 } } }$$

Baholash

$$3$$

Yechim qadamlari

5 daraja ko‘rsatkichini 3 ga hisoblang va 243 ni qiymatni oling.

$$\sqrt[2^{3}]{\frac{243\times 9\times 27^{3}}{81^{2}}}$$

2187 hosil qilish uchun 243 va 9 ni ko'paytirish.

$$\sqrt[2^{3}]{\frac{2187\times 27^{3}}{81^{2}}}$$

3 daraja ko‘rsatkichini 27 ga hisoblang va 19683 ni qiymatni oling.

$$\sqrt[2^{3}]{\frac{2187\times 19683}{81^{2}}}$$

43046721 hosil qilish uchun 2187 va 19683 ni ko'paytirish.

$$\sqrt[2^{3}]{\frac{43046721}{81^{2}}}$$

2 daraja ko‘rsatkichini 81 ga hisoblang va 6561 ni qiymatni oling.

$$\sqrt[2^{3}]{\frac{43046721}{6561}}$$

6561 ni olish uchun 43046721 ni 6561 ga bo‘ling.

$$\sqrt[2^{3}]{6561}$$

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

$$\sqrt[8]{6561}$$

\sqrt[8]{6561} ni hisoblab, 3 natijasiga ega bo‘ling.

$$3$$

Omil

$$3$$