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\(A=2+2^2+2^3+....+2^{10}\)
\(\Rightarrow2A=2^2+2^3+....+2^{11}\)
\(\Rightarrow A=2A-A=\left(2^2+2^3+....+2^{11}\right)-\left(2+2^2+2^3+....+2^{10}\right)\)
\(\Rightarrow A=2^{11}-2\)
A = 2 + 22 + 23 + ... + 210
=( 2 + 22 ) + ( 23 + 24 ) + ( 25 + 26 ) + ( 27 + 28 ) + ( 29 + 210 )
= 2 x ( 1 + 2 ) + 23 x ( 1 + 2 ) + 25 x ( 1 + 2 ) + 27 x ( 1 + 2 ) + 29 x ( 1 + 2 )
= 2 x 3 + 23 x 3 + 25 x 3 + 27 x 3 + 29 x 3
= 3 x ( 2 + 23 + 25 + 27 + 29 )
= 3 x ( 2 + 8 +32 + 128 + 512 )
= 3 x 682
= 2046
a, 6/9+5/7+1/3=2/3+5/7+1/3=5/7+1=12/7
b, 17/7+6/5-20/14=17/7+6/5-10/7=6/5+1=11/5
c,2/5x1/4+3/4x2/5=2/5x(1/4+3/4)=2/5x1=2/5
d, 6/11:4/6+5/11:2/3=6/11:2/3+5/11:2/3=(6/11+5/11):2/3=3/2
nha
\(a.1\frac{1}{3}+2\frac{1}{2}\)
\(=\frac{4}{3}+\frac{5}{2}\)
\(=\frac{8}{6}+\frac{15}{6}\)
\(=\frac{23}{6}\)
\(b.3\frac{2}{5}-1\frac{1}{7}\)
\(=\frac{17}{5}-\frac{8}{7}\)
\(=\frac{119}{35}-\frac{40}{35}\)
\(=\frac{79}{35}\)
\(c.3\frac{1}{2}.1\frac{1}{7}\)
\(=\frac{7}{2}.\frac{8}{7}\)
\(=4\)
\(d.4\frac{1}{6}:2\frac{1}{3}\)
\(=\frac{25}{6}:\frac{7}{3}\)
\(=\frac{25}{6}.\frac{3}{7}\)
\(=\frac{25}{14}\)
\(a,4\frac{1}{2}< 4\frac{3}{4}\)
\(b,2\frac{4}{5}< 3\frac{1}{4}\)
\(c,7\frac{2}{9}>5\frac{2}{9}\)
\(d,13\frac{5}{6}< 13\frac{6}{7}\)
Nao Tomori
\(a,4\frac{1}{2}....4\frac{3}{4}\Rightarrow4\frac{1}{2}=\frac{13}{2};4\frac{3}{4}=\frac{19}{4}\)
\(=4\frac{1}{2}< 4\frac{3}{4}\)
\(b,2\frac{4}{5}....3\frac{1}{4}\Rightarrow2\frac{4}{5}=\frac{14}{5};3\frac{1}{4}=\frac{13}{12}\)
\(=2\frac{4}{5}>3\frac{1}{4}\)
\(c,7\frac{2}{9}....5\frac{2}{9}\Rightarrow7\frac{2}{9}=\frac{65}{9};5\frac{2}{9}=\frac{42}{9}\)
\(=7\frac{2}{9}>5\frac{2}{9}\)
\(d,13\frac{5}{6}....13\frac{6}{7}\Rightarrow13\frac{5}{6}=\frac{83}{6};13\frac{6}{7}=\frac{97}{7}\)
\(=13\frac{5}{6}< 13\frac{6}{7}\)
P/s: Quy đồng là bước trung gian nên mk ko ghi bước quy đồng nha
a)13x3x32,27+67,63x39
=39x32,27+67,63x39
=39x(32,27+67,63)
=39x100
=3900
b,= 1- [ 1/2 x 1/3 x1/4 x..... x 1/100 ]
=1/2 x 2/3 x 3/4 x .......x 99/100
= 1x2x3x......x99 / 2x3x4x...... x100 [ rút gọn ]
= 1/100
a, 2\(\dfrac{3}{5}\) \(\times\) 1\(\dfrac{1}{4}\) + \(\dfrac{5}{2}\)
= \(\dfrac{13}{5}\) \(\times\) \(\dfrac{5}{4}\) + \(\dfrac{5}{2}\)
= \(\dfrac{13}{4}\) + \(\dfrac{5}{2}\)
= \(\dfrac{13}{4}\) + \(\dfrac{10}{4}\)
= \(\dfrac{23}{4}\)
2⁶ : 2 = 2⁶ ⁻ ¹ = 2⁵
Chọn c
Chọn đáp án c
Vì \(2^6:2=2^{6-1}=2^5\) ( 2 tức là 21 )