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\(\frac{11.3^{22}.3^7-9^{15}}{\left(2.3^{14}\right)^2}\)
\(=\frac{11.3^{22}.3^7-\left(3^2\right)^{15}}{\left(2.3^{14}\right)^2}\)
\(=\frac{11.3^{22}.3^7-3^{30}}{\left(2.3^{14}\right)^2}\)
\(=\frac{11.3^{29}-3^{30}}{\left(2.3^{14}\right)^2}\)
\(=\frac{11.3^{29}-3^{30}}{2^2.3^{28}}\)
\(=\frac{11.3^{29}-3.3^{29}}{4.3^{28}}\)
\(=\frac{\left(11-3\right).3^{29}}{4.3^{28}}\)
\(=\frac{8.3^{29}}{4.3^{28}}\)
\(=2.3=6\)
a)500-{5.[409-(21-2\(^3\).3)\(^2\)+10\(^3\)}:15
=500-{5.[409-(21-24)\(^2\)]+10\(^3\)}:15
=500-{5.[409-(-3)\(^2\)]+10\(^3\)}:15
=500-{5.400+10\(^3\)}:15
=500-{2000+1000}:15
=500-3000:15
=500-200
=300
b)-7129+1478+7129-1479
=[(-7129)+7129]+(1478-1479)
=0+-1
=-1
c)19-42.(-19)+19.(-3)
=19-(-798)+(-57)
=817+(-57)
=760
hok tốt
Ta có :
a) \(5^9:5^7+2^4.3-29.2012^0\)
\(=5^2+16.3-29.1\)
\(=25+48-29=44\)
b) \(\left[32+\left(-17\right)+\left(-15\right)+\left(-34\right)\right]+\left(-\left|-56\right|\right)\)
\(=\left[34-2-17-15-34\right]+\left(-56\right)\)
\(=\left[0-2-17-15\right]-56\)
\(=-34-56=-90\)