सोडोवचें [(0^{5}+0^{4}+1^{3}+1^{2})^{5}:(7^{0}+9^9)^3]:(8^9)^2=

$$[ ( 0 ^ { 5 } + 0 ^ { 4 } + 1 ^ { 3 } + 1 ^ { 2 } ) ^ { 5 } : ( 7 ^ { 0 } + 9 ^ { 9 } ) ^ { 3 } ] : ( 8 ^ { 9 } ) ^ { 2 } =$$

मूल्यांकन करचें

$$\frac{1}{32735391990810248958045594675197247488000}\approx 3.054797695 \cdot 10^{-41}$$

सोडोवणी पांवडे

एक पॉवर दुसऱ्या पॉवरान उखलून धरपाक, निदर्शकांक गुणचें. 18 मेळोवंक 9 तल्यान 2 गुणचो.

$$\frac{\frac{\left(0^{5}+0^{4}+1^{3}+1^{2}\right)^{5}}{\left(7^{0}+9^{9}\right)^{3}}}{8^{18}}$$

0 मेळोवंक 5 चो 0 पॉवर मेजचो.

$$\frac{\frac{\left(0+0^{4}+1^{3}+1^{2}\right)^{5}}{\left(7^{0}+9^{9}\right)^{3}}}{8^{18}}$$

0 मेळोवंक 4 चो 0 पॉवर मेजचो.

$$\frac{\frac{\left(0+0+1^{3}+1^{2}\right)^{5}}{\left(7^{0}+9^{9}\right)^{3}}}{8^{18}}$$

0 मेळोवंक 0 आनी 0 ची बेरीज करची.

$$\frac{\frac{\left(1^{3}+1^{2}\right)^{5}}{\left(7^{0}+9^{9}\right)^{3}}}{8^{18}}$$

1 मेळोवंक 3 चो 1 पॉवर मेजचो.

$$\frac{\frac{\left(1+1^{2}\right)^{5}}{\left(7^{0}+9^{9}\right)^{3}}}{8^{18}}$$

1 मेळोवंक 2 चो 1 पॉवर मेजचो.

$$\frac{\frac{\left(1+1\right)^{5}}{\left(7^{0}+9^{9}\right)^{3}}}{8^{18}}$$

2 मेळोवंक 1 आनी 1 ची बेरीज करची.

$$\frac{\frac{2^{5}}{\left(7^{0}+9^{9}\right)^{3}}}{8^{18}}$$

32 मेळोवंक 5 चो 2 पॉवर मेजचो.

$$\frac{\frac{32}{\left(7^{0}+9^{9}\right)^{3}}}{8^{18}}$$

1 मेळोवंक 0 चो 7 पॉवर मेजचो.

$$\frac{\frac{32}{\left(1+9^{9}\right)^{3}}}{8^{18}}$$

387420489 मेळोवंक 9 चो 9 पॉवर मेजचो.

$$\frac{\frac{32}{\left(1+387420489\right)^{3}}}{8^{18}}$$

387420490 मेळोवंक 1 आनी 387420489 ची बेरीज करची.

$$\frac{\frac{32}{387420490^{3}}}{8^{18}}$$

58149737453323966743649000 मेळोवंक 3 चो 387420490 पॉवर मेजचो.

$$\frac{\frac{32}{58149737453323966743649000}}{8^{18}}$$

8 भायर काडून आनी रद्द करून एकदम उण्या संज्ञेत अपुर्णांक \frac{32}{58149737453323966743649000} उणो करचो.

$$\frac{\frac{4}{7268717181665495842956125}}{8^{18}}$$

18014398509481984 मेळोवंक 18 चो 8 पॉवर मेजचो.

$$\frac{\frac{4}{7268717181665495842956125}}{18014398509481984}$$

एकोडो अपूर्णांक म्हूण \frac{\frac{4}{7268717181665495842956125}}{18014398509481984} स्पश्ट करचें.

$$\frac{4}{7268717181665495842956125\times 18014398509481984}$$

130941567963240995832182378700788989952000 मेळोवंक 7268717181665495842956125 आनी 18014398509481984 गुणचें.

$$\frac{4}{130941567963240995832182378700788989952000}$$

4 भायर काडून आनी रद्द करून एकदम उण्या संज्ञेत अपुर्णांक \frac{4}{130941567963240995832182378700788989952000} उणो करचो.

$$\frac{1}{32735391990810248958045594675197247488000}$$

गुणकपद

$$\frac{1}{2 ^ {52} \cdot 5 ^ {3} \cdot 73 ^ {3} \cdot 530713 ^ {3}} = 3.054797695047392 \times 10^{-41}$$