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\(A=\frac{9^{14}.25^5.8^7}{18^{12}.625^{324}.24^3}\)
\(A=\frac{\left(3^2\right)^{14}.\left(5^2\right)^5.\left(2^3\right)^7}{2^{12}.9^{12}.\left(5^4\right)^{324}.3^3.8^3}\)
\(A=\frac{3^{28}.5^{10}.2^{21}}{2^{12}.\left(3^2\right)^{12}.5^{1296}.3^3.\left(2^3\right)^3}\)
\(A=\frac{3^{28}.5^{10}.2^{21}}{2^{21}.3^{24}.5^{1296}.3^3.2^9}\)
\(A=\frac{3^{28}.5^{10}.2^{21}}{2^{30}.3^{27}.5^{1296}}\)
\(A=\frac{3}{2^9.5^{1286}}\)
a.87 .914 .255 tren 6253 .1812 .243 =(23 )7 .(32 )14 .(52)5 tren (54 )3 .(2.32 )12 .(23 .3)3 =221 .328 .510 tren 512 .(2.32 )12 .(23 .3)3 =217 .325 tren 52 .1.1=217.325 tren 25.
b.(3.128.216 )2 tren (2.4.8.16.32.64)2 =(3.27 .216 )2 tren (2..22 .23 .24 .25 .26 )2 =(3.223 )2 tren (221 )2 =(3.22 )2 tren 1=122 =144
c.4.312 +5.311 tren 39 .23 -39 .52 =4.311 .3+5.311 tren 39 .(23 -52 )=(4+5).311 .3 tren 39 .(8-25)=9.312 tren 39 .(-17)=32 .312 tren 39 .(-17)=314 tren 39 .(-17)=35 tren -17.
hihi ko bt dung ko nua
a)\(\left(10^2+11^2+12^2\right)\div\left(13^2+14^2\right)\)
\(=\left(100+121+144\right)\div\left(169+196\right)\)
\(=365\div365\)
\(=1\)
b) \(1.2.3...9-1.2.3...8-1.2.3...8^2\)
\(=1.2.3...8\left(9-1-8\right)\)
\(=1.2.3...8.0\)
\(=0\)
d) \(1152-\left(374+1152\right)+\left(-65+374\right)\)
\(=1152-374-1152-65+374\)
\(=\left(1152-1152\right)-65+\left(374-374\right)\)
\(=0-65+0\)
\(=-65\)
e) \(13-12+11+10-9+8-7-6+5-4+3+2-1\)
\(=13-\left(12-11\right)+\left(10-9\right)+\left(8-7\right)-\left(6-5\right)-\left(4-3\right)\)\(+\left(2-1\right)\)
\(=13-1+1+1-1-1+1\)
\(=13+0+0+0\)
\(=13\)