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

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

मूल्यांकन करचें

$$\frac{2923}{1200}\approx 2.435833333$$

सोडोवणी पांवडे

\frac{81}{16} मेळोवंक -2 चो \frac{4}{9} पॉवर मेजचो.

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

\sqrt[3]{-27} मेजचो आनी -3 मेळोवचो.

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

\frac{33}{16} मेळोवंक \frac{81}{16} आनी 3 वजा करचे.

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

\frac{1}{25} मेळोवंक 2 चो \frac{1}{5} पॉवर मेजचो.

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

\frac{841}{400} मेळोवंक \frac{33}{16} आनी \frac{1}{25} ची बेरीज करची.

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

\sqrt[3]{-\frac{8}{27}} मेजचो आनी -\frac{2}{3} मेळोवचो.

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

\frac{1723}{1200} मेळोवंक \frac{841}{400} आनी \frac{2}{3} वजा करचे.

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

1 मेळोवंक 0 चो \frac{3}{5} पॉवर मेजचो.

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

\frac{2923}{1200} मेळोवंक \frac{1723}{1200} आनी 1 ची बेरीज करची.

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

गुणकपद

$$\frac{37 \cdot 79}{2 ^ {4} \cdot 3 \cdot 5 ^ {2}} = 2\frac{523}{1200} = 2.4358333333333335$$