frac{sqrt{3^6}:5^2}{sqrt{8^2*2^6}} eching

$$\frac { \sqrt { 3 ^ { 6 } } : 5 ^ { 2 } } { \sqrt { 8 ^ { 2 } \cdot 2 ^ { 6 } } }$$

Baholash

$$\frac{27}{1600}=0,016875$$

Yechim qadamlari

6 daraja ko‘rsatkichini 3 ga hisoblang va 729 ni qiymatni oling.

$$\frac{\frac{\sqrt{729}}{5^{2}}}{\sqrt{8^{2}\times 2^{6}}}$$

729 ning kvadrat ildizini hisoblab, 27 natijaga ega bo‘ling.

$$\frac{\frac{27}{5^{2}}}{\sqrt{8^{2}\times 2^{6}}}$$

2 daraja ko‘rsatkichini 5 ga hisoblang va 25 ni qiymatni oling.

$$\frac{\frac{27}{25}}{\sqrt{8^{2}\times 2^{6}}}$$

2 daraja ko‘rsatkichini 8 ga hisoblang va 64 ni qiymatni oling.

$$\frac{\frac{27}{25}}{\sqrt{64\times 2^{6}}}$$

6 daraja ko‘rsatkichini 2 ga hisoblang va 64 ni qiymatni oling.

$$\frac{\frac{27}{25}}{\sqrt{64\times 64}}$$

4096 hosil qilish uchun 64 va 64 ni ko'paytirish.

$$\frac{\frac{27}{25}}{\sqrt{4096}}$$

4096 ning kvadrat ildizini hisoblab, 64 natijaga ega bo‘ling.

$$\frac{\frac{27}{25}}{64}$$

\frac{\frac{27}{25}}{64} ni yagona kasrga aylantiring.

$$\frac{27}{25\times 64}$$

1600 hosil qilish uchun 25 va 64 ni ko'paytirish.

$$\frac{27}{1600}$$

Omil

$$\frac{3 ^ {3}}{2 ^ {6} \cdot 5 ^ {2}} = 0,016875$$