{left(xsqrt{frac{x/289}}{8}right)}^2 eching

$${ \left( \frac{ x \sqrt{ \frac{ x }{ 289 } } }{ 8 } \right) }^{ 2 }$$

Baholash

$$\frac{x^{3}}{18496}$$

Yechim qadamlari

\frac{x\sqrt{\frac{x}{289}}}{8}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

$$\frac{\left(x\sqrt{\frac{x}{289}}\right)^{2}}{8^{2}}$$

\left(x\sqrt{\frac{x}{289}}\right)^{2} ni kengaytirish.

$$\frac{x^{2}\left(\sqrt{\frac{x}{289}}\right)^{2}}{8^{2}}$$

2 daraja ko‘rsatkichini \sqrt{\frac{x}{289}} ga hisoblang va \frac{x}{289} ni qiymatni oling.

$$\frac{x^{2}\times \frac{x}{289}}{8^{2}}$$

x^{2}\times \frac{x}{289} ni yagona kasrga aylantiring.

$$\frac{\frac{x^{2}x}{289}}{8^{2}}$$

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

$$\frac{\frac{x^{2}x}{289}}{64}$$

\frac{\frac{x^{2}x}{289}}{64} ni yagona kasrga aylantiring.

$$\frac{x^{2}x}{289\times 64}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 1 ni qo‘shib, 3 ni oling.

$$\frac{x^{3}}{289\times 64}$$

18496 hosil qilish uchun 289 va 64 ni ko'paytirish.

$$\frac{x^{3}}{18496}$$

Kengaytirish

$$\frac{x^{3}}{18496}$$

Yechim qadamlari

\frac{x\sqrt{\frac{x}{289}}}{8}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

$$\frac{\left(x\sqrt{\frac{x}{289}}\right)^{2}}{8^{2}}$$

\left(x\sqrt{\frac{x}{289}}\right)^{2} ni kengaytirish.

$$\frac{x^{2}\left(\sqrt{\frac{x}{289}}\right)^{2}}{8^{2}}$$

2 daraja ko‘rsatkichini \sqrt{\frac{x}{289}} ga hisoblang va \frac{x}{289} ni qiymatni oling.

$$\frac{x^{2}\times \frac{x}{289}}{8^{2}}$$

x^{2}\times \frac{x}{289} ni yagona kasrga aylantiring.

$$\frac{\frac{x^{2}x}{289}}{8^{2}}$$

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

$$\frac{\frac{x^{2}x}{289}}{64}$$

\frac{\frac{x^{2}x}{289}}{64} ni yagona kasrga aylantiring.

$$\frac{x^{2}x}{289\times 64}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 1 ni qo‘shib, 3 ni oling.

$$\frac{x^{3}}{289\times 64}$$

18496 hosil qilish uchun 289 va 64 ni ko'paytirish.

$$\frac{x^{3}}{18496}$$