sqrt[4]{8^4-6^4/6^4-2^4} eching

$$\sqrt[ 4 ] { \frac { 8 ^ { 4 } - 6 ^ { 4 } } { 6 ^ { 4 } - 2 ^ { 4 } } }$$

Baholash

$$\frac{\sqrt[4]{35}}{2}\approx 1,21614964$$

Yechim qadamlari

4 daraja ko‘rsatkichini 8 ga hisoblang va 4096 ni qiymatni oling.

$$\sqrt[4]{\frac{4096-6^{4}}{6^{4}-2^{4}}}$$

4 daraja ko‘rsatkichini 6 ga hisoblang va 1296 ni qiymatni oling.

$$\sqrt[4]{\frac{4096-1296}{6^{4}-2^{4}}}$$

2800 olish uchun 4096 dan 1296 ni ayirish.

$$\sqrt[4]{\frac{2800}{6^{4}-2^{4}}}$$

4 daraja ko‘rsatkichini 6 ga hisoblang va 1296 ni qiymatni oling.

$$\sqrt[4]{\frac{2800}{1296-2^{4}}}$$

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

$$\sqrt[4]{\frac{2800}{1296-16}}$$

1280 olish uchun 1296 dan 16 ni ayirish.

$$\sqrt[4]{\frac{2800}{1280}}$$

\frac{2800}{1280} ulushini 80 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\sqrt[4]{\frac{35}{16}}$$