2^5.45+2^5.6+2^5
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a) 600:{300:[200 - (30 + 8.20)]}
= 600:{300:[200 - 190]}
= 600:{300 : 10}
= 600 : 30
= 20
b) 42.53 - (20150 + 8) : 32
= 16.125 - (1 + 8) : 9
= 2000 - 1
= 1999
c) 25.75 + 25.16 + 5.45
= 25.75 + 25.16 + 5.5.9
= 25.75 + 25.16 + 25.9
= 25.(75 + 16 + 9)
= 25.100
= 2500
c)
25.75+25.16+5.45
=25.75+25.16+5.(5.9)
=25.75+25.16+5.5.9
=25.75+25.16+25.9
=25.(75+16+9)
=25.100
=2500
a) Ta có :
\(\left(\frac{3}{7}+\frac{1}{2}\right)^2\)
= \(\left(\frac{6}{14}+\frac{7}{14}\right)^2\)
= \(\left(\frac{13}{14}\right)^2\)
= \(\frac{169}{196}\)
b)
\(\left(\frac{3}{4}-\frac{5}{6}\right)^2\)
= \(\left(\frac{18}{24}-\frac{20}{24}\right)^2\)
= \(\left(\frac{-1}{12}\right)^2\)
= \(\frac{1}{144}\)
1. Do
2. play
3. Is
4. are
5. gets
6. go
7. does
8. watch
9. eats
10. do - do
a: \(\dfrac{4\cdot5+4\cdot11}{8\cdot7+4\cdot3}=\dfrac{4\cdot16}{4\left(2\cdot7+3\right)}=\dfrac{16}{17}=\dfrac{11088}{11781}\)
\(\dfrac{-15\cdot8+10\cdot7}{5\cdot6+20\cdot3}=\dfrac{-120+170}{30+60}=\dfrac{50}{90}=\dfrac{5}{9}=\dfrac{6545}{11781}\)
\(\dfrac{2^4\cdot5^2\cdot7}{2^3\cdot5\cdot7^2\cdot11}=2\cdot5\cdot\dfrac{1}{77}=\dfrac{10}{77}=\dfrac{1530}{11781}\)
Ta có: \(M=1\cdot2+3\cdot4+\cdots+57\cdot58\)
\(=1\left(1+1\right)+3\left(3+1\right)+\cdots+57\left(57+1\right)\)
\(=\left(1^2+3^2+\cdots+57^2\right)+\left(1+3+\cdots+57\right)\)
Đặt \(A=1^2+3^2+\cdots+57^2\)
\(=1^2+2^2+3^2+4^2+\cdots+57^2+58^2-\left(2^2+4^2+\cdots+58^2\right)\)
\(=\frac{58\left(58+1\right)\left(2\cdot58+1\right)}{6}-2^2\left(1^2+2^2+\cdots+29^2\right)\)
\(=\frac{58\cdot59\cdot117}{6}-4\cdot\frac{29\left(29+1\right)\left(2\cdot29+1\right)}{6}\)
\(=29\cdot59\cdot39-4\cdot\frac{29\cdot30\cdot59}{6}=29\cdot59\cdot39-4\cdot29\cdot5\cdot59\)
=32509
Đặt B=1+3+...+57
Số số hạng của dãy số là:
(57-1):2+1=56:2+1=28+1=29(số)
Tổng của dãy số là: \(B=\left(57+1\right)\cdot\frac{29}{2}=58\cdot\frac{29}{2}=29\cdot29=841\)
M=A+B
=32509+841
=33350
\(N=1^2+3^2+\cdots+57^2\)
=>N=A
=32509
M-N
=33350-32509
=841
\(\frac{1^2}{1\cdot2}\cdot\frac{2^2}{2\cdot3}\cdot\frac{3^2}{3\cdot4}\cdot\frac{4^2}{4\cdot5}\cdot\frac{5^2}{5\cdot6}=\frac{1^2}{1\cdot6}=\frac{1}{6}\)
lan sau nho ghi de cho dung nha bn
\(\frac{1.1.2.2.3.3.4.4.5.5}{1.2.2.3.3.4.4.5.5.6}\)=\(\frac{\left(1.2.3.4.5\right).\left(1.2.3.4.5\right)}{\left(1.2.3.4.5\right)\left(2.3.4.5.6\right)}=\frac{1}{6}\)
