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6410 -32 11 - 1613 = 260 - 255 - 252 = 252 . 28 - 252 . 23 - 252
= 252 ( 28 - 23 - 1)
= 252 . 247 = 252 . 19 . 13
=> chia hết cho 19
\(S=1+\frac{1}{2}+1+\frac{1}{4}+1+\frac{1}{8}+1+\frac{1}{16}+1+\frac{1}{32}+1+\frac{1}{64}-7\)
\(S=\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+\frac{1}{32}+\frac{1}{64}-1\)
Ta đặt: \(P=\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+\frac{1}{32}+\frac{1}{64}\)
=> \(2P=1+\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+\frac{1}{32}\)
=> \(2P-P=\left(1+\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+\frac{1}{32}\right)-\left(\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+\frac{1}{32}+\frac{1}{64}\right)\)
=> \(P=1-\frac{1}{64}\)
Mà \(S=P-1\)
=> \(S=1-\frac{1}{64}-1=-\frac{1}{64}\)
Vậy \(S=-\frac{1}{64}\)
N = 3/2 + 5/4 + 9/8 + 17/16 + 33/32 + 65/64 - 7
N = (1 + 1/2) + (1 + 1/4) + (1 + 1/8) + (1 + 1/16) + (1 + 1/32) + (1 + 1/64) - 7
N = (1 + 1 + 1 + 1 + 1 + 1 ) + (1/2 + 1/4 + 1/8 + 1/16 + 1/32 + 1/64) - 7
N = 6 - (1/2 + 1/4 + 1/8 + 1/16 + 1/32 + 1/64) - 7
Đặt A = 1/2 + 1/4 + 1/8 + 1/16 + 1/32 + 1/64
2A = 1 + 1/2 + 1/4 + 1/8 + 1/16 + 1/32
2A - A = (1 + 1/2 + 1/4 + 1/8 + 1/16 + 1/32) - (1/2 + 1/4 + 1/8 + 1/16 + 1/32 + 1/64)
A = 1 - 1/64
N = 6 - (1 - 1/64) - 7
N = 6 - 1 + 1/64 - 7
N = 5 + 1/64 - 7
N = -2 + 1/64
N = -128/64 + 1/64
N = -127/64
bạn soyen_Tiểu bàng giải sao dòng 3 đang cộng đến dòng 9 lại chuyển thành trừ vậy
a) \(64^2\cdot32^4=2^{16}\cdot2^{20}=2^{36}\)
b) \(11^{16}\cdot5^{24}=\left(11^4\right)^4\cdot\left(5^6\right)^4=\left(11^4\cdot5^6\right)^4\)
a)642.324=(26)2.(25)4=212.220=232
b)1116.524(ko phân tích đc nữa)
a
\(1312:\left(3x-19\right)=32\)
\(3x-19=1312:32\)
\(3x-19=41\)
\(3x=41+19\)
\(3x=60\)
\(x=60:3\)
\(x=20\)
b
\(x+\frac{5}{6}=\frac{11}{2}\)
\(x=\frac{11}{2}-\frac{5}{6}\)
\(x=\frac{14}{3}\)
\(\dfrac{15}{34}+\dfrac{7}{21}+\dfrac{19}{34}-\dfrac{32}{17}+\dfrac{2}{3}\)
\(=\left(\dfrac{15}{34}+\dfrac{19}{34}\right)+\dfrac{7}{21}+\dfrac{-32}{17}+\dfrac{2}{3}\)
\(=1+\dfrac{1}{3}+\dfrac{-32}{17}+\dfrac{2}{3}\)
\(=1+\left(\dfrac{1}{3}+\dfrac{2}{3}\right)+\dfrac{-32}{17}\)
\(=1+1+\dfrac{-32}{17}\)
\(2+\dfrac{-32}{17}=\dfrac{2}{17}\)
65.(-19)+19.(-24)
=(-65).19+19.(-24)
=19.(-65+(-24))
=19.(-41)
=-779
Tính nhanh :
65 . (-19) + 19 . (-24)
= (-65) . 19 + 19 . (-24)
= 19 . [ (-65) + (-24) ]
= 19 . (-89)
= -1691
71 . 64 - 32 . (-7) + 32 . 11
= 71 . 2 . 32 - 32 . (-7) + 32 .11
= 142 . 32 - 32 . (-7) + 32 . 11
= 32 . [ 142 - ( -7) + 11 ]
= 32 . ( 142 + 7 + 11 )
= 32 . ( 149 + 11 )
= 32 . 160
= 5120