सोडोवचें [3^{12}*(-9^{5})*(27)^2]^2:(5^3)^9

$$[ 3 ^ { 12 } \cdot ( - 9 ^ { 5 } ) \cdot ( 27 ) ^ { 2 } ] ^ { 2 } : ( 5 ^ { 3 } ) ^ { 9 }$$

मूल्यांकन करचें

$$\frac{523347633027360537213511521}{7450580596923828125}\approx 70242530.259110093$$

सोडोवणी पांवडे

एक पॉवर दुसऱ्या पॉवरान उखलून धरपाक, निदर्शकांक गुणचें. 27 मेळोवंक 3 तल्यान 9 गुणचो.

$$\frac{\left(3^{12}\left(-9^{5}\right)\times 27^{2}\right)^{2}}{5^{27}}$$

531441 मेळोवंक 12 चो 3 पॉवर मेजचो.

$$\frac{\left(531441\left(-9^{5}\right)\times 27^{2}\right)^{2}}{5^{27}}$$

59049 मेळोवंक 5 चो 9 पॉवर मेजचो.

$$\frac{\left(531441\left(-59049\right)\times 27^{2}\right)^{2}}{5^{27}}$$

-31381059609 मेळोवंक 531441 आनी -59049 गुणचें.

$$\frac{\left(-31381059609\times 27^{2}\right)^{2}}{5^{27}}$$

729 मेळोवंक 2 चो 27 पॉवर मेजचो.

$$\frac{\left(-31381059609\times 729\right)^{2}}{5^{27}}$$

-22876792454961 मेळोवंक -31381059609 आनी 729 गुणचें.

$$\frac{\left(-22876792454961\right)^{2}}{5^{27}}$$

523347633027360537213511521 मेळोवंक 2 चो -22876792454961 पॉवर मेजचो.

$$\frac{523347633027360537213511521}{5^{27}}$$

7450580596923828125 मेळोवंक 27 चो 5 पॉवर मेजचो.

$$\frac{523347633027360537213511521}{7450580596923828125}$$

गुणकपद

$$\frac{3 ^ {56}}{5 ^ {27}} = 70242530\frac{1.9305206552435712 \times 10^{18}}{7.450580596923828 \times 10^{18}} = 70242530.2591101$$