sqrt[3]{27/8}-(2/5)^-1+4/3:(-8/9)-frac{2}{5}(-frac{10}{8}) eching

$$\sqrt[ 3 ] { \frac { 27 } { 8 } } - ( \frac { 2 } { 5 } ) ^ { - 1 } + \frac { 4 } { 3 } : ( - \frac { 8 } { 9 } ) - \frac { 2 } { 5 } ( - \frac { 10 } { 8 } )$$

Baholash

$$-2$$

Yechim qadamlari

\sqrt[3]{\frac{27}{8}} ni hisoblab, \frac{3}{2} natijasiga ega bo‘ling.

$$\frac{3}{2}-\left(\frac{2}{5}\right)^{-1}+\frac{\frac{4}{3}}{-\frac{8}{9}}-\frac{2}{5}\left(-\frac{10}{8}\right)$$

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

$$\frac{3}{2}-\frac{5}{2}+\frac{\frac{4}{3}}{-\frac{8}{9}}-\frac{2}{5}\left(-\frac{10}{8}\right)$$

-1 olish uchun \frac{3}{2} dan \frac{5}{2} ni ayirish.

$$-1+\frac{\frac{4}{3}}{-\frac{8}{9}}-\frac{2}{5}\left(-\frac{10}{8}\right)$$

\frac{4}{3} ni -\frac{8}{9} ga bo'lish \frac{4}{3} ga k'paytirish -\frac{8}{9} ga qaytarish.

$$-1+\frac{4}{3}\left(-\frac{9}{8}\right)-\frac{2}{5}\left(-\frac{10}{8}\right)$$

-\frac{3}{2} hosil qilish uchun \frac{4}{3} va -\frac{9}{8} ni ko'paytirish.

$$-1-\frac{3}{2}-\frac{2}{5}\left(-\frac{10}{8}\right)$$

-\frac{5}{2} olish uchun -1 dan \frac{3}{2} ni ayirish.

$$-\frac{5}{2}-\frac{2}{5}\left(-\frac{10}{8}\right)$$

\frac{10}{8} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$-\frac{5}{2}-\frac{2}{5}\left(-\frac{5}{4}\right)$$

-\frac{1}{2} hosil qilish uchun \frac{2}{5} va -\frac{5}{4} ni ko'paytirish.

$$-\frac{5}{2}-\left(-\frac{1}{2}\right)$$

-\frac{1}{2} ning teskarisi \frac{1}{2} ga teng.

$$-\frac{5}{2}+\frac{1}{2}$$

-2 olish uchun -\frac{5}{2} va \frac{1}{2}'ni qo'shing.

$$-2$$

Omil

$$-2$$