{left(frac{8{x}^-frac{2{3}}{b}^-frac{1{2}}}{27x{b}^frac{3{4}}}right)}^frac{2{3}} eching

$${ \left( \frac{ 8 { x }^{ - \frac{ 2 }{ 3 } } { b }^{ - \frac{ 1 }{ 2 } } }{ 27x { b }^{ \frac{ 3 }{ 4 } } } \right) }^{ \frac{ 2 }{ 3 } }$$

Baholash

$$\frac{4}{9b^{\frac{5}{6}}x^{\frac{10}{9}}}$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichini bo‘lish uchun suratning darajasini maxraj darajasiga bo‘ling.

$$\left(\frac{8}{27b^{\frac{5}{4}}x^{\frac{5}{3}}}\right)^{\frac{2}{3}}$$

\frac{8}{27b^{\frac{5}{4}}x^{\frac{5}{3}}}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

$$\frac{8^{\frac{2}{3}}}{\left(27b^{\frac{5}{4}}x^{\frac{5}{3}}\right)^{\frac{2}{3}}}$$

\frac{2}{3} daraja ko‘rsatkichini 8 ga hisoblang va 4 ni qiymatni oling.

$$\frac{4}{\left(27b^{\frac{5}{4}}x^{\frac{5}{3}}\right)^{\frac{2}{3}}}$$

\left(27b^{\frac{5}{4}}x^{\frac{5}{3}}\right)^{\frac{2}{3}} ni kengaytirish.

$$\frac{4}{27^{\frac{2}{3}}\left(b^{\frac{5}{4}}\right)^{\frac{2}{3}}\left(x^{\frac{5}{3}}\right)^{\frac{2}{3}}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. \frac{5}{4} va \frac{2}{3} ni ko‘paytirib, \frac{5}{6} ni oling.

$$\frac{4}{27^{\frac{2}{3}}b^{\frac{5}{6}}\left(x^{\frac{5}{3}}\right)^{\frac{2}{3}}}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. \frac{5}{3} va \frac{2}{3} ni ko‘paytirib, \frac{10}{9} ni oling.

$$\frac{4}{27^{\frac{2}{3}}b^{\frac{5}{6}}x^{\frac{10}{9}}}$$

\frac{2}{3} daraja ko‘rsatkichini 27 ga hisoblang va 9 ni qiymatni oling.

$$\frac{4}{9b^{\frac{5}{6}}x^{\frac{10}{9}}}$$

x ga nisbatan hosilani topish

$$-\frac{40}{81b^{\frac{5}{6}}x^{\frac{19}{9}}}$$