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a, 48.84
= (22)8.(23)4
= 216.212
= 228
b, 415.515
= (4.5)15
= 2015
c, 210.15 + 210.85
= 210.(15 + 85)
= 210.100
=210.(2.5)2
= 212.52
d, 33.92
= 33 . (32)2
= 33.34
= 37
e, 512.7 - 511.10
= 511.(5.7 - 10)
= 511.25
=511.52
=513
f, \(x^1\).\(x^2\).\(x^3\)....\(x^{100}\)
= \(x^{1+2+3+...+100}\)
= \(x^{\left(1+100\right).100:2}\)
= \(x^{5050}\)
Ta có : $16A=\dfrac{16}{6.10}+\dfrac{16}{7.9}+\dfrac{16}{8.8}+\dfrac{16}{9.7}+\dfrac{16}{10.6}$
$=>16A=\dfrac{1}{6}+\dfrac{1}{10}+\dfrac{1}{7}+\dfrac{1}{9}+\dfrac{1}{8}+\dfrac{1}{8}+\dfrac{1}{9}+\dfrac{1}{7}+\dfrac{1}{10}+\dfrac{1}{6}$
$=>16A=2.(\dfrac{1}{6}+\dfrac{1}{7}+\dfrac{1}{8}+\dfrac{1}{9}+\dfrac{1}{10})$
$=>A=\dfrac{1}{8}(dfrac{1}{6}+\dfrac{1}{7}+\dfrac{1}{8}+\dfrac{1}{9}+\dfrac{1}{10})$
\(A=\dfrac{1}{6.10}+\dfrac{1}{7.9}+\dfrac{1}{8.8}+\dfrac{1}{9.7}+\dfrac{1}{10.6}\)
\(16A=\dfrac{16}{6.10}+\dfrac{16}{7.9}+\dfrac{16}{8.8}+\dfrac{16}{9.7}+\dfrac{16}{10.6}\)
\(16A=\dfrac{1}{6}+\dfrac{1}{10}+\dfrac{1}{7}+\dfrac{1}{9}+\dfrac{1}{8}+\dfrac{1}{8}+\dfrac{1}{9}+\dfrac{1}{7}+\dfrac{1}{10}+\dfrac{1}{6}\)
\(16A=2\left(\dfrac{1}{6}+\dfrac{1}{7}+\dfrac{1}{8}+\dfrac{1}{9}+\dfrac{1}{10}\right)\)
\(A=2:16\left(\dfrac{1}{6}+\dfrac{1}{7}+\dfrac{1}{8}+\dfrac{1}{9}+\dfrac{1}{10}\right)\)
\(A=\dfrac{1}{8}\left(\dfrac{1}{6}+\dfrac{1}{7}+\dfrac{1}{8}+\dfrac{1}{9}+\dfrac{1}{10}\right)\left(đpcm\right)\)
a )
\(\frac{-1}{5}.\frac{1}{2}=\frac{\left(-1.1\right)}{5.2}=\frac{-1}{10}\)
b )
\(\frac{-1}{8}.\frac{8}{9}=\frac{-1.1}{1.9}=\frac{-1}{9}\)
c )
\(\frac{-3}{7}.\frac{14}{15}=\frac{-1.2}{1.3}=\frac{-2}{3}\)
e )
\(\left(-4\right).\frac{7}{24}=\frac{-28}{24}=\frac{-7}{6}\)
f )
\(\frac{-9}{13}.\frac{-5}{18}=\frac{\left(-1\right).\left(-5\right)}{13.2}=\frac{6}{26}=\frac{3}{13}\)
đúng đó , tk mk nhé ! hihiii
a,\(\frac{-1}{10}\) b,\(\frac{-1}{9}\) c,\(\frac{-2}{5}\) e,\(\frac{-7}{6}\) f,\(\frac{-5}{26}\)
A) 410 . 815 = (22)10 . (23)15 = 220 . 245 = 220+45=265
B) 415 . 530 = (22)15 . 530 = 230 . 530 = (2 . 5)30 = 1030
C) 2716 : 910 = (33)16 : (32)10 = 348 : 320 = 348-20=328
\(\frac{-7}{8}\cdot\frac{8}{9}=\frac{112}{x}\)
=> \(\frac{-7}{9}=\frac{112}{x}\)
=> \(\frac{-7}{9}=\frac{112\div\left(-16\right)}{x\div\left(-16\right)}\)
=> \(9=x\div\left(-16\right)\)
=> \(x=-144\)
Hoặc : \(-7x=9\cdot112\)
=> \(-7x=1008\)
=> \(x=-144\)
\(a.-\dfrac{1}{5}.\dfrac{1}{2}\)
\(=\dfrac{-1.1}{5.2}\)
\(=\dfrac{-1}{10}.\)
\(b.-\dfrac{1}{8}.\dfrac{8}{9}\)
\(=\dfrac{-1.8}{8.9}\)
\(=\dfrac{-1}{9}.\)
\(c.-\dfrac{3}{7}.\dfrac{14}{15}\)
\(=\dfrac{-3.14}{7.15}\)
\(=\dfrac{-3.7.2}{7.3.5}\)
\(=\dfrac{-2}{5}.\)
\(d.-\dfrac{7}{5}.\dfrac{15}{21}\)
\(=\dfrac{-7.15}{5.21}\)
\(=\dfrac{-7.5.3}{5.7.3}\)
\(=-1.\)
\(e.-4.\dfrac{7}{24}\)
\(=\dfrac{-4.7}{24}\)
\(=\dfrac{-4.7}{4.6}\)
\(=\dfrac{-7}{6}.\)
\(f.-\dfrac{9}{13}.\dfrac{5}{18}\)
\(=\dfrac{-9.5}{13.18}\)
\(=\dfrac{-9.5}{13.9.2}\)
\(=\dfrac{-1.5}{13.2}\)
\(=\dfrac{-5}{26}.\)
\(\frac{1-1+2+9+8\cdot8}{x-36.12+5}=3615\)
\(\Rightarrow\frac{1-1+2+9+64}{x-432+5}=3615\)
\(\Rightarrow\frac{75}{x-427}=3615\)
\(\Rightarrow\left(x-427\right)3615=75\)
\(\Rightarrow3615x-1543605=75\)
\(\Rightarrow3615x=1543680\)
\(\Rightarrow x=\frac{1543680}{3615}=\frac{102912}{241}\)