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\(\frac{3^4.2^3-3^4.4}{3^5.3^2-3^5.5}=\frac{3^4.\left(2^3-4\right)}{3^5.\left(3^2-5\right)}=\frac{8-4}{3.\left(9-5\right)}=\frac{4}{3.4}=\frac{1}{3}\)
\(\frac{3^4\cdot2^3-3^4\cdot4}{3^5.3^2-3^5\cdot5}=\frac{3^4\left(8-4\right)}{3^5\left(9-5\right)}=\frac{4}{3\cdot4}=\frac{1}{3}\)
a, \(\frac{3.7-3.5}{5+12}=\frac{3.\left(7-5\right)}{17}\)
\(=\frac{3.2}{17}\)
\(=\frac{6}{17}\)
b, \(\frac{9.6-9.3}{27}=\frac{9.\left(6-3\right)}{27}\)
\(=\frac{9.3}{27}\)
\(=\frac{27}{27}=1\)
nha
99 + 277= 318+321 = 318(1+33)
96 + 2433= 312+315 = 312 (1+33)
\(\frac{2^{15}\times9^4}{6^6\times8^3}=\frac{2^{15}\times\left(3^2\right)^4}{3^6\times2^6\times\left(2^3\right)^3}=\frac{2^{15}\times3^{18}}{3^6\times2^{15}}=\frac{3^8}{3^6}=3^2=9\)
\(\frac{2^{15}.9^4}{6^6.8^3}=\frac{2^{15}.\left(3^2\right)^4}{\left(3.2\right)^6.\left(2^3\right)^3}=\frac{2^{15}.3^8}{3^6.2^6.2^9}=\frac{2^{15}.3^8}{3^6.2^{15}}=3^2=9\)
\(\frac{2^{10}\cdot9^6}{4^6\cdot3^{11}}=\frac{2^{10}\cdot3^{12}}{2^{12}\cdot3^{11}}=\frac{3}{4}\)
\(\dfrac{9^4\cdot2-3^6}{34\cdot37}=\dfrac{3^8\cdot2-3^6}{34\cdot37}=\dfrac{3^6\cdot\left(18-1\right)}{34\cdot37}=\dfrac{3^6}{2\cdot37}=\dfrac{729}{74}\)