(1/2+3/4)^-1-sqrt[3]{-8}*(-3/2)+(-2)^-2+(-4)^-1 eching

$$( \frac { 1 } { 2 } + \frac { 3 } { 4 } ) ^ { - 1 } - \sqrt[ 3 ] { - 8 } \cdot ( - \frac { 3 } { 2 } ) + ( - 2 ) ^ { - 2 } + ( - 4 ) ^ { - 1 }$$

Baholash

$$-\frac{11}{5}=-2,2$$

Yechim qadamlari

\frac{5}{4} olish uchun \frac{1}{2} va \frac{3}{4}'ni qo'shing.

$$\left(\frac{5}{4}\right)^{-1}-\sqrt[3]{-8}\left(-\frac{3}{2}\right)+\left(-2\right)^{-2}+\left(-4\right)^{-1}$$

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

$$\frac{4}{5}-\sqrt[3]{-8}\left(-\frac{3}{2}\right)+\left(-2\right)^{-2}+\left(-4\right)^{-1}$$

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

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

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

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

-\frac{11}{5} olish uchun \frac{4}{5} dan 3 ni ayirish.

$$-\frac{11}{5}+\left(-2\right)^{-2}+\left(-4\right)^{-1}$$

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

$$-\frac{11}{5}+\frac{1}{4}+\left(-4\right)^{-1}$$

-\frac{39}{20} olish uchun -\frac{11}{5} va \frac{1}{4}'ni qo'shing.

$$-\frac{39}{20}+\left(-4\right)^{-1}$$

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

$$-\frac{39}{20}-\frac{1}{4}$$

-\frac{11}{5} olish uchun -\frac{39}{20} dan \frac{1}{4} ni ayirish.

$$-\frac{11}{5}$$

Omil

$$-\frac{11}{5} = -2\frac{1}{5} = -2,2$$