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\(\frac{243^5.81^7.9^{15}.3^6.9^4.3^{18}}{9^8.729^8.81^9.27^5}=\frac{\left(3^5\right)^5.\left(3^4\right)^7.\left(3^2\right)^{15}.3^6.\left(3^2\right)^4.3^{18}}{\left(3^2\right)^8.\left(3^6\right)^8.\left(3^4\right)^9.\left(3^3\right)^5}=\frac{3^{25}.3^{28}.3^{30}.3^6.3^8.3^{18}}{3^{16}.3^{48}.3^{36}.3^{15}}=\frac{3^{115}}{3^{115}}=1\)
a) \(110 – 7^2 + 22:2\) = \(110 – 49 + 11 = 61 + 11 = 72\)
b) \(9.(8^2 – 15)= 9.(64 – 15 ) = 9.49 = 441\)
c) \(5.8 – (17 + 8):5 = 40 – 25:5 = 40 – 5 = 35\)
d) \( 75:3 + 6.9^2= 25 + 6.81 = 25 + 486 = 511\)
a, = 3^15.2^24+2^16.3^16.2^10
= 3^15.2^24+3^16.2^26
= 3^15.2^24.(1+3.2^2) = 3^15.2^24.13
b, = 2.3.3^18.2^21-3.7.3^15.2^23
= 2^22.3^19-2^23.3^16.7
= 2^22.3^17.(3^3-2.7) = 2^22.3^17.13
k mk nha
a) -15/90= -5/30= -1/6
120/600=1/5
-75/150= -25/50= -1/2
b)3.4+3.7/6.5+9
=3.(4+7)/3.2+3 .3
=11/2+3.3
=11/11=1
6.9-2.17/63.3-11.9
=2.3.3.3-2.17/7.3.3-11.3.3
=2-2.17/7.3-11
= 2-2.17/10
=2-2.17/2.5
=2-17/5
=-15/5=-3
\(\frac{11.3^{22}.3^7-9^{15}}{2^2.3^{28}}=\frac{11.3^{29}}{2^2.3^{28}}-\frac{3^{30}}{2^2.3^{28}}=\frac{11.3}{4}-\frac{9}{4}=\frac{33-9}{4}=\frac{24}{4}=6\)
\(\frac{27^5.8^2-9^7.4^3}{2^6.9^6}=\frac{3^{15}.2^6}{2^6.3^{12}}-\frac{3^{14}.2^6}{2^6.3^{12}}=27-9=18\)
~ Học tốt ~
\(\frac{6.25-6.9+18}{15+9}\)=\(\frac{6.25-6.9+6.3}{3.5+3.3}\)=\(\frac{6.\left(25-6+3\right)}{3.\left(5+3\right)}\)=\(\frac{6.23}{3.8}\)=\(\frac{138}{24}\)
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