(1-sqrt[3]{-8})^-1-(10^-1+1/10)= eching

$$( 1 - \sqrt[ 3 ] { - 8 } ) ^ { - 1 } - ( 10 ^ { - 1 } + \frac { 1 } { 10 } ) =$$

Baholash

$$\frac{2}{15}\approx 0,133333333$$

Yechim qadamlari

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

$$\left(1-\left(-2\right)\right)^{-1}-\left(10^{-1}+\frac{1}{10}\right)$$

-2 ning teskarisi 2 ga teng.

$$\left(1+2\right)^{-1}-\left(10^{-1}+\frac{1}{10}\right)$$

3 olish uchun 1 va 2'ni qo'shing.

$$3^{-1}-\left(10^{-1}+\frac{1}{10}\right)$$

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

$$\frac{1}{3}-\left(10^{-1}+\frac{1}{10}\right)$$

-1 daraja ko‘rsatkichini 10 ga hisoblang va \frac{1}{10} ni qiymatni oling.

$$\frac{1}{3}-\left(\frac{1}{10}+\frac{1}{10}\right)$$

\frac{1}{5} olish uchun \frac{1}{10} va \frac{1}{10}'ni qo'shing.

$$\frac{1}{3}-\frac{1}{5}$$

\frac{2}{15} olish uchun \frac{1}{3} dan \frac{1}{5} ni ayirish.

$$\frac{2}{15}$$

Omil

$$\frac{2}{3 \cdot 5} = 0,13333333333333333$$