|-5|-(sqrt{2}-1)^0+(-1/3)^-2+sqrt[3]{-27} eching

$$| - 5 | - ( \sqrt { 2 } - 1 ) ^ { 0 } + ( - \frac { 1 } { 3 } ) ^ { - 2 } + \sqrt[ 3 ] { - 27 }$$

Baholash

$$10$$

Yechim qadamlari

a haqiqiy sonining mutloq qiymati qachon a\geq 0 bo‘lganda, a yoki qachon a<0 bo‘lganda -a. -5 ning mutloq qiymati 5 ga teng.

$$5-\left(\sqrt{2}-1\right)^{0}+\left(-\frac{1}{3}\right)^{-2}+\sqrt[3]{-27}$$

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

$$5-1+\left(-\frac{1}{3}\right)^{-2}+\sqrt[3]{-27}$$

4 olish uchun 5 dan 1 ni ayirish.

$$4+\left(-\frac{1}{3}\right)^{-2}+\sqrt[3]{-27}$$

-2 daraja ko‘rsatkichini -\frac{1}{3} ga hisoblang va 9 ni qiymatni oling.

$$4+9+\sqrt[3]{-27}$$

13 olish uchun 4 va 9'ni qo'shing.

$$13+\sqrt[3]{-27}$$

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

$$13-3$$

10 olish uchun 13 dan 3 ni ayirish.

$$10$$

Omil

$$2\times 5$$