{left(1/4right)}^24/5+2/5div{left(2/3right)}^3 eching

$${ \left( \frac{ 1 }{ 4 } \right) }^{ 2 } \frac{ 4 }{ 5 } + \frac{ 2 }{ 5 } \div { \left( \frac{ 2 }{ 3 } \right) }^{ 3 }$$

Baholash

$$\frac{7}{5}=1,4$$

Yechim qadamlari

2 daraja ko‘rsatkichini \frac{1}{4} ga hisoblang va \frac{1}{16} ni qiymatni oling.

$$\frac{1}{16}\times \frac{4}{5}+\frac{\frac{2}{5}}{\left(\frac{2}{3}\right)^{3}}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1}{16} ni \frac{4}{5} ga ko‘paytiring.

$$\frac{1\times 4}{16\times 5}+\frac{\frac{2}{5}}{\left(\frac{2}{3}\right)^{3}}$$

\frac{1\times 4}{16\times 5} kasridagi ko‘paytirishlarni bajaring.

$$\frac{4}{80}+\frac{\frac{2}{5}}{\left(\frac{2}{3}\right)^{3}}$$

\frac{4}{80} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{1}{20}+\frac{\frac{2}{5}}{\left(\frac{2}{3}\right)^{3}}$$

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

$$\frac{1}{20}+\frac{\frac{2}{5}}{\frac{8}{27}}$$

\frac{2}{5} ni \frac{8}{27} ga bo'lish \frac{2}{5} ga k'paytirish \frac{8}{27} ga qaytarish.

$$\frac{1}{20}+\frac{2}{5}\times \frac{27}{8}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{2}{5} ni \frac{27}{8} ga ko‘paytiring.

$$\frac{1}{20}+\frac{2\times 27}{5\times 8}$$

\frac{2\times 27}{5\times 8} kasridagi ko‘paytirishlarni bajaring.

$$\frac{1}{20}+\frac{54}{40}$$

\frac{54}{40} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{1}{20}+\frac{27}{20}$$

\frac{1}{20} va \frac{27}{20} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{1+27}{20}$$

28 olish uchun 1 va 27'ni qo'shing.

$$\frac{28}{20}$$

\frac{28}{20} ulushini 4 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{7}{5}$$

Omil

$$\frac{7}{5} = 1\frac{2}{5} = 1,4$$