(1/5)^-2*(2/3)^3+3^-2*3^5 eching

$$( 1 / 5 ) ^ { - 2 } \cdot ( 2 / 3 ) ^ { 3 } + 3 ^ { - 2 } \cdot 3 ^ { 5 }$$

Baholash

$$\frac{929}{27}\approx 34,407407407$$

Yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. -2 va 5 ni qo‘shib, 3 ni oling.

$$\left(\frac{1}{5}\right)^{-2}\times \left(\frac{2}{3}\right)^{3}+3^{3}$$

-2 daraja ko‘rsatkichini \frac{1}{5} ga hisoblang va 25 ni qiymatni oling.

$$25\times \left(\frac{2}{3}\right)^{3}+3^{3}$$

3 daraja ko‘rsatkichini \frac{2}{3} ga hisoblang va \frac{8}{27} ni qiymatni oling.

$$25\times \frac{8}{27}+3^{3}$$

\frac{200}{27} hosil qilish uchun 25 va \frac{8}{27} ni ko'paytirish.

$$\frac{200}{27}+3^{3}$$

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

$$\frac{200}{27}+27$$

\frac{929}{27} olish uchun \frac{200}{27} va 27'ni qo'shing.

$$\frac{929}{27}$$

Omil

$$\frac{929}{3 ^ {3}} = 34\frac{11}{27} = 34,407407407407405$$