(25)^3/2*(243)^3/5/(16)^5/4*(8)^4/3 eching

$$\frac { ( 25 ) ^ { 3 / 2 } \times ( 243 ) ^ { 3 / 5 } } { ( 16 ) ^ { 5 / 4 } \times ( 8 ) ^ { 4 / 3 } }$$

Baholash

$$\frac{3375}{512}=6,591796875$$

Yechim qadamlari

\frac{3}{2} daraja ko‘rsatkichini 25 ga hisoblang va 125 ni qiymatni oling.

$$\frac{125\times 243^{\frac{3}{5}}}{16^{\frac{5}{4}}\times 8^{\frac{4}{3}}}$$

\frac{3}{5} daraja ko‘rsatkichini 243 ga hisoblang va 27 ni qiymatni oling.

$$\frac{125\times 27}{16^{\frac{5}{4}}\times 8^{\frac{4}{3}}}$$

3375 hosil qilish uchun 125 va 27 ni ko'paytirish.

$$\frac{3375}{16^{\frac{5}{4}}\times 8^{\frac{4}{3}}}$$

\frac{5}{4} daraja ko‘rsatkichini 16 ga hisoblang va 32 ni qiymatni oling.

$$\frac{3375}{32\times 8^{\frac{4}{3}}}$$

\frac{4}{3} daraja ko‘rsatkichini 8 ga hisoblang va 16 ni qiymatni oling.

$$\frac{3375}{32\times 16}$$

512 hosil qilish uchun 32 va 16 ni ko'paytirish.

$$\frac{3375}{512}$$

Omil

$$\frac{3 ^ {3} \cdot 5 ^ {3}}{2 ^ {9}} = 6\frac{303}{512} = 6,591796875$$