tính: A=(10^12+5^11.2^9-5^13.28):4.5^5.10^6
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a) 4.52-3.23 = 22.52-3.23 = 22.(52-3.2) =22.(25-6) = 4.19 = 76
b) 28.76 + 13.28 + 9.2
= 28. (76 + 13) + 18
= 28. 89 + 18
= 2492 + 18
= 2510
c) 1024: ( 17 .25+15.25)
= 210 : [25.(17+15)]
= 210: [25. 32]
= 210: [25.25)
= 210:210
= 1
a) 4.52-3.23
=22.52-3.23
=22.(25-6)
=4.11
=44
b) 28.76+13.28+9.2
=28.(76+13)+9.2
=28.89+9.2
=2.(1246+9)
=2.1255
=2510
c) 1024:(17.25+15.25)
=1024:25.(17+15)
=1024:32.32
=1
\(\left(10^{12}+5^{11}.2^9-5^{13}.2^8\right):4.5^5.10^6\)
\(=\left(5^{12}.2^{12}+5^{11}.2^9-5^{13}.2^8\right):2^2.5^5.2^6.5^6\)
\(=\left[5^{11}.2^8\left(5.2^4+2-5^2\right)\right]:2^8.5^{11}\)
\(=\frac{5^{11}.2^8\left(5.16+2-25\right)}{5^{11}.2^8}\)
\(=80+2-25\)
\(=57\)
b,\(\frac{2}{3}\)+\(\frac{1}{3}\).(\(\frac{-2}{3}\)+\(\frac{5}{6}\)):\(\frac{2}{3}\)
=\(\frac{2}{3}\)+\(\frac{1}{3}\).(\(\frac{-4}{6}\)+\(\frac{5}{6}\)):\(\frac{2}{3}\)
=\(\frac{2}{3}\)+\(\frac{1}{3}\).\(\frac{1}{6}\).\(\frac{3}{2}\)
=\(\frac{2}{3}\)+\(\frac{1}{18}\).\(\frac{3}{2}\)
=\(\frac{2}{3}\)+\(\frac{1}{6}\).\(\frac{1}{2}\)
=\(\frac{2}{3}\)+\(\frac{1}{12}\)
=\(\frac{8}{12}\)+\(\frac{1}{12}\)
=\(\frac{9}{12}\)=\(\frac{3}{4}\)
\(\frac{15^5.10^5}{6^6.25^6}\)
\(=\frac{3^5.5^5.2^5.5^5}{3^6.2^6.5^{12}}\)
\(=\frac{3^5.2^5.5^{10}}{3^6.2^6.5^{12}}\)
\(=\frac{1}{3.2.5^2}\)
\(\frac{\left(5^4.5^3\right)^3}{125^4}\)
\(=\frac{\left(5^7\right)^3}{5^{12}}\)
\(=\frac{5^{21}}{5^{12}}\)
\(=5^9\)