सोडोवचें (81/16)^{0.25}*((-8)^-frac{4{3}}*a^-8)*(2^-2*a^30)=

$$( \frac { 81 } { 16 } ) ^ { 0.25 } \cdot ( ( - 8 ) ^ { - \frac { 4 } { 3 } } \cdot a ^ { - 8 } ) \cdot ( 2 ^ { - 2 } \cdot a ^ { 30 } ) =$$

मूल्यांकन करचें

$$\frac{3a^{22}}{128}$$

सोडोवणी पांवडे

समान मूळाचो पावर गुणूंक, ताचो ऍक्सपोनंट जोडचो. 22 मेळोवंक -8 आनी 30 जोडचो.

$$\left(\frac{81}{16}\right)^{0.25}\left(-8\right)^{-\frac{4}{3}}a^{22}\times 2^{-2}$$

\frac{3}{2} मेळोवंक 0.25 चो \frac{81}{16} पॉवर मेजचो.

$$\frac{3}{2}\left(-8\right)^{-\frac{4}{3}}a^{22}\times 2^{-2}$$

\frac{1}{16} मेळोवंक -\frac{4}{3} चो -8 पॉवर मेजचो.

$$\frac{3}{2}\times \frac{1}{16}a^{22}\times 2^{-2}$$

\frac{3}{32} मेळोवंक \frac{3}{2} आनी \frac{1}{16} गुणचें.

$$\frac{3}{32}a^{22}\times 2^{-2}$$

\frac{1}{4} मेळोवंक -2 चो 2 पॉवर मेजचो.

$$\frac{3}{32}a^{22}\times \frac{1}{4}$$

\frac{3}{128} मेळोवंक \frac{3}{32} आनी \frac{1}{4} गुणचें.

$$\frac{3}{128}a^{22}$$

w.r.t. a चो फरक काडचो

$$\frac{33a^{21}}{64}$$

व्यत्पन्नाची व्याख्या वापरून पांवडे

समान मूळाचो पावर गुणूंक, ताचो ऍक्सपोनंट जोडचो. 22 मेळोवंक -8 आनी 30 जोडचो.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\left(\frac{81}{16}\right)^{0.25}\left(-8\right)^{-\frac{4}{3}}a^{22}\times 2^{-2})$$

\frac{3}{2} मेळोवंक 0.25 चो \frac{81}{16} पॉवर मेजचो.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{3}{2}\left(-8\right)^{-\frac{4}{3}}a^{22}\times 2^{-2})$$

\frac{1}{16} मेळोवंक -\frac{4}{3} चो -8 पॉवर मेजचो.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{3}{2}\times \frac{1}{16}a^{22}\times 2^{-2})$$

\frac{3}{32} मेळोवंक \frac{3}{2} आनी \frac{1}{16} गुणचें.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{3}{32}a^{22}\times 2^{-2})$$

\frac{1}{4} मेळोवंक -2 चो 2 पॉवर मेजचो.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{3}{32}a^{22}\times \frac{1}{4})$$

\frac{3}{128} मेळोवंक \frac{3}{32} आनी \frac{1}{4} गुणचें.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{3}{128}a^{22})$$

ax^{n} चो व्यत्पन्न nax^{n-1} आसा.

$$22\times \frac{3}{128}a^{22-1}$$

\frac{3}{128}क 22 फावटी गुणचें.

$$\frac{33}{64}a^{22-1}$$

22 तल्यान 1 वजा करची.

$$\frac{33}{64}a^{21}$$