सोडोवचें (1/5)^-2*(2/3)^3+3^-2*3^5

$$( 1 / 5 ) ^ { - 2 } \cdot ( 2 / 3 ) ^ { 3 } + 3 ^ { - 2 } \cdot 3 ^ { 5 }$$

मूल्यांकन करचें

$$\frac{929}{27}\approx 34.407407407$$

सोडोवणी पांवडे

समान मूळाचो पावर गुणूंक, ताचो ऍक्सपोनंट जोडचो. 3 मेळोवंक -2 आनी 5 जोडचो.

$$\left(\frac{1}{5}\right)^{-2}\times \left(\frac{2}{3}\right)^{3}+3^{3}$$

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

$$25\times \left(\frac{2}{3}\right)^{3}+3^{3}$$

\frac{8}{27} मेळोवंक 3 चो \frac{2}{3} पॉवर मेजचो.

$$25\times \frac{8}{27}+3^{3}$$

\frac{200}{27} मेळोवंक 25 आनी \frac{8}{27} गुणचें.

$$\frac{200}{27}+3^{3}$$

27 मेळोवंक 3 चो 3 पॉवर मेजचो.

$$\frac{200}{27}+27$$

\frac{929}{27} मेळोवंक \frac{200}{27} आनी 27 ची बेरीज करची.

$$\frac{929}{27}$$

गुणकपद

$$\frac{929}{3 ^ {3}} = 34\frac{11}{27} = 34.407407407407405$$