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

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

Baholash

$$\frac{2923}{1200}\approx 2,435833333$$

Yechim qadamlari

-2 daraja ko‘rsatkichini \frac{4}{9} ga hisoblang va \frac{81}{16} ni qiymatni oling.

$$\frac{81}{16}+\sqrt[3]{-27}+\left(\frac{1}{5}\right)^{2}+\sqrt[3]{-\frac{8}{27}}+\left(\frac{3}{5}\right)^{0}$$

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

$$\frac{81}{16}-3+\left(\frac{1}{5}\right)^{2}+\sqrt[3]{-\frac{8}{27}}+\left(\frac{3}{5}\right)^{0}$$

\frac{33}{16} olish uchun \frac{81}{16} dan 3 ni ayirish.

$$\frac{33}{16}+\left(\frac{1}{5}\right)^{2}+\sqrt[3]{-\frac{8}{27}}+\left(\frac{3}{5}\right)^{0}$$

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

$$\frac{33}{16}+\frac{1}{25}+\sqrt[3]{-\frac{8}{27}}+\left(\frac{3}{5}\right)^{0}$$

\frac{841}{400} olish uchun \frac{33}{16} va \frac{1}{25}'ni qo'shing.

$$\frac{841}{400}+\sqrt[3]{-\frac{8}{27}}+\left(\frac{3}{5}\right)^{0}$$

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

$$\frac{841}{400}-\frac{2}{3}+\left(\frac{3}{5}\right)^{0}$$

\frac{1723}{1200} olish uchun \frac{841}{400} dan \frac{2}{3} ni ayirish.

$$\frac{1723}{1200}+\left(\frac{3}{5}\right)^{0}$$

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

$$\frac{1723}{1200}+1$$

\frac{2923}{1200} olish uchun \frac{1723}{1200} va 1'ni qo'shing.

$$\frac{2923}{1200}$$

Omil

$$\frac{37 \cdot 79}{2 ^ {4} \cdot 3 \cdot 5 ^ {2}} = 2\frac{523}{1200} = 2,4358333333333335$$