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19.64 + 76.34
= 19.64 + 19.4.34
= 19.64 + 19.136
= 19.(64+136)
= 19.200
= 3800
g: =4/9(-3/4+27/4)-14/3
=4/9*6-14/3
=8/3-14/3
=-6/3=-2
h: =11/7-3/5-4/9-4/7+8/5-5/9
=8/5
k: =-9/4(2/7-16/7)-2/3
=-9/4*(-2)-2/3
=9/2-2/3
=27/6-4/6
=23/6
m: =9/17*3/11-9/17*12/11-9/17*13/11
=9/17(3/11-12/11-13/11)
=9/17*(-2)=-18/17
\(S=20.21+22.23+23.24+....+39.40\)
\(3S=3.20.21+3.22.23+3.23.24+...+3.39.40\)
\(3S=20.21.\left(22-19\right)+22.23.\left(24-21\right)+....+39.40.\left(41-38\right)\)
\(3S=39.40.41-19.20.21\)
\(3S=55980\)
\(S=18660\).
Q = 14.29+14.71+(1+2+3+4+...+99).(199199.198-198198.199)
= 14.(29+71) + (1+2+3+4+...+99) . (199.101.198-198.1001.199)
= 14.100 + (1+2+3+4+...+99) . 0
= 1400 + 0
= 1400
Q=14(29+71)+(1+2+3+...+99)(199.1001.198-198.1001.199)=14.100+(1+2+3+...+99).0=1400
43.25.16=(22)3.25.24=26.25.24=215
32.64.82=25.26.26=217
=> A=217:215=217-15=22=4
Đáp số: A=4
\(\frac{32.64.8^2}{4^3\cdot2^5\cdot16}=\frac{2^5.2^6.2^6}{2^6.2^5.2^3}\)
\(=\frac{2^{5+6+6}}{2^{6+5+3}}=\frac{2^{17}}{2^{14}}=2^{17-14}=2^3=8\)
Mình giải thích thêm nha
\(8^2=\left(2^3\right)^2=2^6\)
\(4^3=\left(2^2\right)^3=2^6\)
\(=\left(5\cdot2^6+11\cdot2^4-23\cdot2^4\right):2^6=5+11\cdot\dfrac{1}{2^2}-23\cdot\dfrac{1}{2^2}=5+\dfrac{11}{4}-\dfrac{23}{4}=2\)
\(\left(20.2^4+11.2^4-23.2^4\right):2^6\)
\(=\left[2^4.\left(20+11-23\right)\right]:2^6\)
\(=\left(2^4.8\right):2^6\)
\(=2^4.2^3:2^6\)
\(=2\)