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a) 2 x 2 x 2 x ... x 2 x 2 :2
b) 3 x 3 x 3 x ... x 3 x 3 :3
c) 4 x 4 x 4 x ... x 4 x 4 :4
d) 5 x 5 x 5 x ... x 5 x 5 :5
e) 6 x 6 x 6 x ... x 6 x 6 :6
g) 7 x 7 x 7 x...x 7 x 7 :7
h) 8 x 8 x 8 x... x 8 x 8 :8
i) 9 x 9 x 9 x...x 9 x 9 :9
a) 3 x X x 2/3 = 4/5
3.x=6/5
x=2/5
b) 3,94 x 18,24 + 18,24 x 3,72 + 18,24 x 2,34
=18,24(3,94+3,72+2,34)
=18,24.10
=182,4
d) 8/19 x 2/7 + 8/19 x 1/7 + 8/19 x 4/7
=8/19(2/7+1/7+4/7)
=8/19.1
=8/19
A = \(\frac{1}{1.2.4}+\frac{1}{2.4.5}+...+\frac{1}{8.10.11}+\frac{1}{10.11.13}\)
3 x A = \(\frac{3}{1.2.4}+\frac{3}{2.4.5}+...+\frac{3}{8.10.11}+\frac{3}{10.11.13}\)
3 x A = \(\frac{1}{1.2}-\frac{1}{2.4}+\frac{1}{2.4}-\frac{1}{4.5}+...+\frac{1}{8.10}-\frac{1}{10.11}+\frac{1}{10.11}-\frac{1}{11.13}\)
3 x A = \(\frac{1}{1.2}-\frac{1}{11.13}=\frac{1}{2}-\frac{1}{143}=\frac{143}{286}-\frac{2}{286}=\frac{141}{286}\)
A = \(\frac{141}{286}:3=\frac{141}{286.3}=\frac{47}{286}\)
11 x 10 - 10 x 9 + 9 x 8 - 8 x 7 + 7 x 6 - 6 x 5 + 5 x 4 - 4 x 3 + 3 x 2 - 2 x 1 = 60
\(\dfrac{x}{4}+\dfrac{x}{8}+x:2=\dfrac{21}{8}\\ x\times\left(\dfrac{1}{8}+\dfrac{1}{4}+\dfrac{1}{2}\right)=\dfrac{21}{8}\\ x\times\dfrac{7}{8}=\dfrac{21}{8}\\ x=3.\)
\(\dfrac{x}{4}\) + \(\dfrac{x}{8}\) + \(\dfrac{x}{2}\) = \(\dfrac{21}{8}\)
\(x\) \(\times\) ( \(\dfrac{1}{4}\) + \(\dfrac{1}{8}\) + \(\dfrac{1}{2}\)) = \(\dfrac{21}{8}\)
\(x\) \(\times\) \(\dfrac{7}{8}\) = \(\dfrac{21}{8}\)
\(x\) = \(\dfrac{21}{8}\) : \(\dfrac{7}{8}\)
\(x\) = 3
X x 2 + X x 8 = 76
X x ( 2 + 8 ) = 76
X x 10 = 76
X = 76 : 10
X = 7,6