(4/9)^2/2+sqrt[3]{-27}+(1/5)^2+sqrt[3]{-8/27}+(3/5)^0 eching

$$( \frac { 4 } { 9 } ) ^ { 2 / 2 } + \sqrt[ 3 ] { - 27 } + ( \frac { 1 } { 5 } ) ^ { 2 } + \sqrt[ 3 ] { - \frac { 8 } { 27 } } + ( \frac { 3 } { 5 } ) ^ { 0 }$$

Baholash

$$-\frac{491}{225}\approx -2,182222222$$

Yechim qadamlari

1 ni olish uchun 2 ni 2 ga bo‘ling.

$$\left(\frac{4}{9}\right)^{1}+\sqrt[3]{-27}+\left(\frac{1}{5}\right)^{2}+\sqrt[3]{-\frac{8}{27}}+\left(\frac{3}{5}\right)^{0}$$

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

$$\frac{4}{9}+\sqrt[3]{-27}+\left(\frac{1}{5}\right)^{2}+\sqrt[3]{-\frac{8}{27}}+\left(\frac{3}{5}\right)^{0}$$

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

$$\frac{4}{9}-3+\left(\frac{1}{5}\right)^{2}+\sqrt[3]{-\frac{8}{27}}+\left(\frac{3}{5}\right)^{0}$$

-\frac{23}{9} olish uchun \frac{4}{9} dan 3 ni ayirish.

$$-\frac{23}{9}+\left(\frac{1}{5}\right)^{2}+\sqrt[3]{-\frac{8}{27}}+\left(\frac{3}{5}\right)^{0}$$

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

$$-\frac{23}{9}+\frac{1}{25}+\sqrt[3]{-\frac{8}{27}}+\left(\frac{3}{5}\right)^{0}$$

-\frac{566}{225} olish uchun -\frac{23}{9} va \frac{1}{25}'ni qo'shing.

$$-\frac{566}{225}+\sqrt[3]{-\frac{8}{27}}+\left(\frac{3}{5}\right)^{0}$$

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

$$-\frac{566}{225}-\frac{2}{3}+\left(\frac{3}{5}\right)^{0}$$

-\frac{716}{225} olish uchun -\frac{566}{225} dan \frac{2}{3} ni ayirish.

$$-\frac{716}{225}+\left(\frac{3}{5}\right)^{0}$$

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

$$-\frac{716}{225}+1$$

-\frac{491}{225} olish uchun -\frac{716}{225} va 1'ni qo'shing.

$$-\frac{491}{225}$$

Omil

$$-\frac{491}{225} = -2\frac{41}{225} = -2,1822222222222223$$