\(a,A=\left[540:\left(23,7-19,7\right)\right]+42\cdot\left(132+75-36\right)-7317\)
\(=\left(540:4\right)+42\cdot\left(207-36\right)-7317\)
\(=135+42\cdot171-7317\)
\(=135+7182-7317\)
\(=7317-7317\)
\(=0\)
\(---\)
\(b,B=\dfrac{2^{10}\cdot13+2^{10}\cdot65}{2^8\cdot104}\)
\(=\dfrac{2^{10}\cdot\left(13+65\right)}{2^8\cdot104}\)
\(=\dfrac{2^2\cdot78}{104}\)
\(=\dfrac{312}{104}\)
\(=3\)
\(---\)
\(c,C=21\cdot7^2-11\cdot7^2+90\cdot7^2+49\cdot125\cdot16\)
\(=21\cdot49-11\cdot49+90\cdot49+49\cdot125\cdot16\)
\(=49\cdot\left(21-11+90+125\cdot16\right)\)
\(=49\cdot\left(10+90+2000\right)\)
\(=49\cdot\left(100+2000\right)\)
\(=49\cdot2100\)
\(=102900\)
\(---\)
\(d,D=\dfrac{5\cdot4^{15}\cdot9^9-4\cdot3^{20}\cdot8^9}{5\cdot2^9\cdot6^{19}-7\cdot2^{29}\cdot27^6}\)
\(=\dfrac{5\cdot\left(2^2\right)^{15}\cdot\left(3^2\right)^9-2^2\cdot3^{20}\cdot\left(2^3\right)^9}{5\cdot2^9\cdot\left(2\cdot3\right)^{19}-7\cdot2^{29}\cdot\left(3^3\right)^6}\)
\(=\dfrac{5\cdot2^{30}\cdot3^{18}-2^2\cdot3^{20}\cdot2^{27}}{5\cdot2^9\cdot2^{19}\cdot3^{19}-7\cdot2^{29}\cdot3^{18}}\)
\(=\dfrac{5\cdot2^{30}\cdot3^{18}-2^{29}\cdot3^{20}}{5\cdot2^{28}\cdot3^{19}-7\cdot2^{29}\cdot3^{18}}\)
\(=\dfrac{2^{29}\cdot3^{18}\cdot\left(5\cdot2-3^2\right)}{2^{28}\cdot3^{18}\cdot\left(5\cdot3-7\cdot2\right)}\)
\(=\dfrac{2\cdot\left(10-9\right)}{15-14}\)
\(=2\)
\(Toru\)
