16^3div481^1div4/6*16frac{1{2}} eching

$$\frac{ { 16 }^{ 3 \div 4 } { 81 }^{ 1 \div 4 } }{ 6 \cdot 16 \frac{ 1 }{ 2 } }$$

Baholash

$$\frac{8}{33}\approx 0,242424242$$

Yechim qadamlari

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

$$\frac{8\times 81^{\frac{1}{4}}}{6\times \frac{16\times 2+1}{2}}$$

\frac{1}{4} daraja ko‘rsatkichini 81 ga hisoblang va 3 ni qiymatni oling.

$$\frac{8\times 3}{6\times \frac{16\times 2+1}{2}}$$

24 hosil qilish uchun 8 va 3 ni ko'paytirish.

$$\frac{24}{6\times \frac{16\times 2+1}{2}}$$

32 hosil qilish uchun 16 va 2 ni ko'paytirish.

$$\frac{24}{6\times \frac{32+1}{2}}$$

33 olish uchun 32 va 1'ni qo'shing.

$$\frac{24}{6\times \frac{33}{2}}$$

99 hosil qilish uchun 6 va \frac{33}{2} ni ko'paytirish.

$$\frac{24}{99}$$

\frac{24}{99} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{8}{33}$$

Omil

$$\frac{2 ^ {3}}{3 \cdot 11} = 0,24242424242424243$$