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

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

Izrēķināt

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

Atrisinājuma darbības

Daliet 2 ar 2, lai iegūtu 1.

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

Aprēķiniet \frac{4}{9} pakāpē 1 un iegūstiet \frac{4}{9}.

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

Aprēķināt \sqrt[3]{-27} un iegūt -3.

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

Atņemiet 3 no \frac{4}{9}, lai iegūtu -\frac{23}{9}.

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

Aprēķiniet \frac{1}{5} pakāpē 2 un iegūstiet \frac{1}{25}.

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

Saskaitiet -\frac{23}{9} un \frac{1}{25}, lai iegūtu -\frac{566}{225}.

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

Aprēķināt \sqrt[3]{-\frac{8}{27}} un iegūt -\frac{2}{3}.

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

Atņemiet \frac{2}{3} no -\frac{566}{225}, lai iegūtu -\frac{716}{225}.

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

Aprēķiniet \frac{3}{5} pakāpē 0 un iegūstiet 1.

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

Saskaitiet -\frac{716}{225} un 1, lai iegūtu -\frac{491}{225}.

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

Sadalīt reizinātājos

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