(8/27)^-frac{3{3}}*(25/4)^frac{1{2}}*(4/9)^0+(125/64)^frac{1{3}} eching

$$( \frac { 8 } { 27 } ) ^ { - \frac { 3 } { 3 } } \times ( \frac { 25 } { 4 } ) ^ { \frac { 1 } { 2 } } \times ( \frac { 4 } { 9 } ) ^ { 0 } + ( \frac { 125 } { 64 } ) ^ { \frac { 1 } { 3 } }$$

Baholash

$$\frac{155}{16}=9,6875$$

Yechim qadamlari

1 ni olish uchun 3 ni 3 ga bo‘ling.

$$\left(\frac{8}{27}\right)^{-1}\times \left(\frac{25}{4}\right)^{\frac{1}{2}}\times \left(\frac{4}{9}\right)^{0}+\left(\frac{125}{64}\right)^{\frac{1}{3}}$$

-1 daraja ko‘rsatkichini \frac{8}{27} ga hisoblang va \frac{27}{8} ni qiymatni oling.

$$\frac{27}{8}\times \left(\frac{25}{4}\right)^{\frac{1}{2}}\times \left(\frac{4}{9}\right)^{0}+\left(\frac{125}{64}\right)^{\frac{1}{3}}$$

\frac{1}{2} daraja ko‘rsatkichini \frac{25}{4} ga hisoblang va \frac{5}{2} ni qiymatni oling.

$$\frac{27}{8}\times \frac{5}{2}\times \left(\frac{4}{9}\right)^{0}+\left(\frac{125}{64}\right)^{\frac{1}{3}}$$

\frac{135}{16} hosil qilish uchun \frac{27}{8} va \frac{5}{2} ni ko'paytirish.

$$\frac{135}{16}\times \left(\frac{4}{9}\right)^{0}+\left(\frac{125}{64}\right)^{\frac{1}{3}}$$

0 daraja ko‘rsatkichini \frac{4}{9} ga hisoblang va 1 ni qiymatni oling.

$$\frac{135}{16}\times 1+\left(\frac{125}{64}\right)^{\frac{1}{3}}$$

\frac{135}{16} hosil qilish uchun \frac{135}{16} va 1 ni ko'paytirish.

$$\frac{135}{16}+\left(\frac{125}{64}\right)^{\frac{1}{3}}$$

\frac{1}{3} daraja ko‘rsatkichini \frac{125}{64} ga hisoblang va \frac{5}{4} ni qiymatni oling.

$$\frac{135}{16}+\frac{5}{4}$$

\frac{155}{16} olish uchun \frac{135}{16} va \frac{5}{4}'ni qo'shing.

$$\frac{155}{16}$$

Omil

$$\frac{5 \cdot 31}{2 ^ {4}} = 9\frac{11}{16} = 9,6875$$