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H = 1/4 . 2/6 . 3/8 . 4/10. ... . 30/62 . 31/64
H= 1/2.2 . 2/2.3 . 3/2.4 . 4/2.5 . ... . 30/2.31 . 31/2.32
H = 1/2 . 1/2 . 1/2 . 1/2 . ... . 1/2 . 1/32 (31 số 1/2)
H = 1/2^31 . 1/2^5
H = 1/2^36
Vậy H = 1/2^36
\(H=\frac{1}{4}.\frac{2}{6}.\frac{3}{8}...\frac{30}{62}.\frac{31}{64}\)
\(\Rightarrow H=\frac{1.2.3...30.31}{2.2.2.3.2.4...2.31.2.32}=\frac{1}{2^{31}.2^5}=\frac{1}{2^{36}}\)
2.2.2.5.5.5.10 = ( 2.5 ) . ( 2.5 ) . ( 2.5 ) . 10 = 10 . 10 . 10 . 10 = 104
2 . 2 . 2 . 2 . 4 . 4 = ( 2.2 ) . ( 2.2 ) . 4 . 4 = 4 . 4 . 4 . 4 = 44
4 . 4 . 8 . 8 = (2 . 2 ) . ( 2.2 ) . ( 2 . 2 . 2 ) . ( 2. 2 . 2 ) = 2 . 2 .2 . 2 .2 . 2 .2 . 2 .2 . 2 = 210
x3 = 125
x = \(\sqrt[3]{125}=5\)
2x + 4.2x = 5.25
2x ( 4 + 1 ) = 25 . 5
2x . 5 = 25 . 5
x = 5
3n : 9 = 37
3n : 32 = 37
3n-2 = 37
n - 2 = 7
n = 7 + 2 = 9
n = { 3 ; 4 ; 5 }
a ) \(\frac{2.9+6.7}{8.5+4.2}\)
= \(\frac{2.9+2.3.7}{2.2.2.5+4.2}\)
= \(\frac{9+3.7}{2.5+4.2}\)= \(\frac{30}{18}\)= \(\frac{5}{3}\)
a, 2.9+6.7/8.5+4.2
=2.3.3+2.3.7/2.4.5+2.4
=2.3.(3+7)/2.4.(5+1)
=30/24
=5/4
b,297-15/1188-60
=282/1128
=1/4
c, 2^5.3^7+2^5.3^2/2^6.3^10
=2^5.(3^7+3^2)/2.2^5.3^10
=3^9/2.3.3^9
=1/6