ai giải giúp mik ạ , đang cần gấp , bài này ko có trong sách ạ
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\(\dfrac{9^{15}.8^{11}}{3^{29}.16^8}=\dfrac{\left(3^2\right)^{15}.\left(2^3\right)^{11}}{3^{29}.\left(2^4\right)^8}=\dfrac{3^{30}.2^{33}}{3^{29}.2^{32}}\)
Ta lấy vễ trên chia vế dưới
\(=3.2=6\)
\(\dfrac{2^{11}.9^3}{3^5.16^2}=\dfrac{2^{11}.\left(3^2\right)^3}{3^5.\left(2^4\right)^2}=\dfrac{2^{11}.3^6}{3^5.2^8}\)
Ta lấy vế trên chia vế dưới
\(=2^3.3=24\)
\(\dfrac{9^{15}.8^{11}}{3^{29}.16^8}=\dfrac{\left(3^2\right)^{15}.\left(2^3\right)^{11}}{3^{29}.\left(2^4\right)^8}=\dfrac{3^{30}.2^{33}}{3^{29}.3^{32}}=3.2=6\)
\(\dfrac{2^{11}.9^3}{3^5.16^2}=\dfrac{2^{11}.\left(3^2\right)^3}{3^5.\left(2^4\right)^2}=\dfrac{2^{11}.3^6}{3^5.2^8}=2^3.3=8.3=24\)
a, Vì D,M là trung điểm AB,AC nên DM là đtb tg ABC
Do đó \(DM=\dfrac{1}{2}BC=\dfrac{7}{2}\left(cm\right)\) và DM//BC
Bài 3:
a. \(R=R1+R2=15+30=45\Omega\)
b. \(\left\{{}\begin{matrix}I=U:R=9:45=0,2A\\I=I1=I2=0,2A\left(R1ntR2\right)\end{matrix}\right.\)
c. \(\left\{{}\begin{matrix}U1=R1.I1=15.0,2=3V\\U2=R2.I2=30.0,2=6V\end{matrix}\right.\)
Bài 4:
\(I1=U1:R1=6:3=2A\)
\(\Rightarrow I=I1=I2=2A\left(R1ntR2\right)\)
\(U=R.I=\left(3+15\right).2=36V\)
\(U2=R2.I2=15.2=30V\)
\(a,\dfrac{4}{5}\times\dfrac{7}{3}\times\dfrac{3}{4}=\dfrac{4\times7\times3}{5\times3\times4}=\dfrac{7}{5}\)
\(b,\left(\dfrac{1}{2}+\dfrac{1}{3}\right)\times\dfrac{1}{4}\)
\(=\left(\dfrac{3}{6}+\dfrac{2}{6}\right)\times\dfrac{1}{4}\)
\(=\dfrac{5}{6}\times\dfrac{1}{4}\)
\(=\dfrac{5}{24}\)
\(c,\left(\dfrac{2}{3}+\dfrac{2}{5}\right)\times\dfrac{2}{7}\)
\(=\left(\dfrac{10}{35}+\dfrac{6}{35}\right)\times\dfrac{2}{7}\)
\(=\dfrac{16}{15}\times\dfrac{2}{7}\)
\(=\dfrac{32}{105}\)
Cách `1`
`a)4/5 xx 7/3 xx 3/4`
`=28/15 xx 3/4`
`=84/60`
`=7/5`
__
`b)(1/2+1/3)xx1/4`
`=(3/6+2/6)xx1/4`
`=5/6xx1/4`
`=5/24`
__
`c)(2/3+2/5)xx2/7`
`=(10/15+6/15)xx2/7`
`=16/15xx2/7`
`=32/105`
___________________________
Cách `2`:
`a)4/5 xx 7/3 xx 3/4`
`=4/5 xx (7/3 xx 3/4)`
`=4/5 xx 7/4`
`=7/5`
__
`b)(1/2+1/3)xx1/4`
`=1/2 xx 1/4 + 1/3 xx 1/4`
`= 1/8 + 1/12`
`= 3/24+2/24`
`=5/24`
__
`c)(2/3+2/5)xx2/7`
`=2/3 xx 2/7 + 2/5 xx 2/7`
`=4/21 + 4/35`
`= 20/105+12/105`
`=32/105`
`#QiN`