Rút gọn 212.35-46.92
. (22.3)6+84.35
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`a) ((-14).15)/(21.(-10))`
`=(-7.3.5.3)/(7.3.(-2).5)`
`=3/2`
`b) ((-7).12)/((-16).(-14))`
`=(-7.3.2.2)/(-2.2.2.(-7).2)`
`=(-3)/4`
`c) ((-11).(-5))/(15.22) `
`=(-11.(-5))/(3.5.11.2)`
`=1/6`
`d) ((-10).(-18))/((-6).25.7)`
`=(-5.2.-2.3.3)/(-2.3.5.5.7)`
`=6/35`
`e) (5.7-7.9)/(7.2+6.7)`
`=(7.(5-9))/(7.(2+6))`
`=-4/8`
`=-1/2`
`f) (11.9-22.3)/(33.2)`
`=(33.(3-2))/(33.2)`
`=1/2`
a)(−14).1521.(−10)�)(-14).1521.(-10)
=−7.3.5.37.3.(−2).5=-7.3.5.37.3.(-2).5
=32=32
b)(−7).12(−16).(−14)�)(-7).12(-16).(-14)
=−7.3.2.2−2.2.2.(−7).2=-7.3.2.2-2.2.2.(-7).2
=−34=-34
c)(−11).(−5)15.22�)(-11).(-5)15.22
=−11.(−5)3.5.11.2=-11.(-5)3.5.11.2
=16=16
d)(−10).(−18)(−6).25.7�)(-10).(-18)(-6).25.7
=−5.2.−2.3.3−2.3.5.5.7=-5.2.-2.3.3-2.3.5.5.7
=635=635
e)5.7−7.97.2+6.7�)5.7-7.97.2+6.7
=7.(5−9)7.(2+6)=7.(5-9)7.(2+6)
=−48=-48
=−12=-12
f)11.9−22.333.2�)11.9-22.333.2
=33.(3−2)33.2=33.(3-2)33.2
=12
a) 34.18+23.18+43.18
18. (34+23+43)
18.100=1800
b)54.(112+88)+(92+118).46
54.200+210.46
10800+9660=20460
\(A=\dfrac{5.\left(2^2.3^2\right)^9.\left(2^2\right)^6-2.\left(2^2.3\right)^{14}.3^4}{5.2^{28}.3^{18}-7.2^{29}.3^{18}}\)
\(=\dfrac{5.2^{18}.3^{18}.2^{12}-2.2^{28}.3^{14}.3^4}{5.2^{28}.3^{18}-7.2^{29}.3^{18}}\)
\(=\dfrac{5.2^{20}.3^{18}-2^{29}.3^{18}}{2^{28}.3^{18}\left(5-7.2\right)}\)
\(=\dfrac{2^{29}.3^{18}\left(5.2-1\right)}{2^{28}.3^{18}\left(5-14\right)}=\dfrac{2.9}{-9}=-2\)
\(6\sqrt{6}-27=\left(\sqrt{6}-3\right)\left(9+3\sqrt{6}\right)\)
Sửa đề: \(\sqrt{5-2\sqrt6}\)
Ta có: \(\sqrt{5-2\sqrt6}\)
\(=\sqrt{3-2\cdot\sqrt3\cdot\sqrt2+2}\)
\(=\sqrt{\left(\sqrt3-\sqrt2\right)^2}=\sqrt3-\sqrt2\)
\(2^{12}.3^5-4^6.9^2=663552\)
\(\left(2^2.3\right)^6+8^4.3^5=3981312\)
\(\frac{2^{12}\cdot3^5-4^6\cdot9^2}{\left(2^2\cdot3\right)^6+8^4\cdot3^4}=\frac{2^{12}\cdot3^5-2^{12}\cdot3^4}{2^{12}\cdot3^6+2^{12}\cdot3^4}=\frac{2^{12}\cdot\left(3^5-3^4\right)}{2^{12}\cdot\left(3^6+3^4\right)}=\frac{2^{12}\cdot3}{2^{12}\cdot3^4\cdot2\cdot5}=\frac{1}{3^3\cdot2\cdot5}=\frac{1}{270}\)