a ) \(\frac{3^2.5^2+15.7}{22.6+18.11}\)
= \(\frac{15.15+15.7}{33.4+6.33}\)
= \(\frac{15.\left(15+7\right)}{33.\left(4+6\right)}\)
= \(\frac{15.22}{33.10}\)
= \(\frac{3.5.11.2}{11.3.5.2}\)
= 1
a,\(\frac{3^2.5^2+15.7}{22.6+18.11}=\frac{9.15+15.7}{11.12+18.11}=\frac{\left(9+7\right).15}{11\left(12+18\right)}\)\(=\frac{16.15}{11.30}=\frac{8}{11}\)
b,\(\frac{6.9-2.17}{63.3-119}=\frac{2.27-2.17}{7.27-7.17}=\frac{2.\left(27-17\right)}{7.\left(27-17\right)}\)\(=\frac{2}{7}\)
c,\(\frac{3^{10}.11+3^{10}.5}{3^9.2^4}=\frac{3^{10}.\left(11+5\right)}{3^9.16}=\frac{3.16}{16}=3\)
a) \(\frac{3^2.5^2+15.7}{22.6+18.11}\)
\(=\frac{3.3.5.5+15.7}{22.6+6.3.11}\)
\(=\frac{15.15+15.7}{22.6+6.33}\)
\(=\frac{15.\left(15+7\right)}{6.\left(22+33\right)}\)
\(=\frac{15.22}{6.55}\)
\(=\frac{5.3.22}{6.5.11}\)
\(=\frac{3.22}{6.11}\)
\(=\frac{66}{66}=1\)
b) \(\frac{6.9-2.17}{63.3-119}\)
\(=\frac{2.27-2.17}{7.27-17.7}\)
\(=\frac{2.\left(27-17\right)}{7.\left(27-17\right)}\)
\(=\frac{2.10}{7.10}=\frac{2}{7}\)
c)\(\frac{3^{10}.11+3^{10}.5}{3^9.2^4}\)
\(=\frac{3^{10}.\left(11+5\right)}{3^9.2^4}\)
\(=\frac{3^{10}.16}{3^9.2^4}\)
\(=\frac{3^{10}.2^4}{3^9.2^4}\)
\(=\frac{3^{10}}{3^9}=3^{10-9}=3\)
\(a,\frac{3^2.5^2+15.7}{22.6+18.11}=\frac{15.15+15.7}{11.12+18.11}=\frac{15\left(15+7\right)}{11\left(12+18\right)}=\frac{15.22}{11.20}=\frac{3}{2}\)
\(b,\frac{6.9-2.17}{63.3-119}=\frac{2\left(3.9-17\right)}{7.27-7.17}=\frac{2.10}{7.10}=\frac{2}{7}\)
\(c,\frac{3^{10}.11+3^{10}.5}{3^9.2^4}=\frac{3^{10}\left(11+5\right)}{3^9.16}=\frac{3^{10}.16}{3^9.16}=3\)
