1/2 + 4/4 + 4/8 + 4/10 + 1/32 + 4/64
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=\(\frac{1}{2}+\frac{1}{4}+\frac{1}{2}+\frac{2}{5}+\frac{1}{32}+\frac{1}{8}\)
=\(1+\frac{1}{4}+\frac{2}{5}+\frac{1}{32}+\frac{1}{8}\)
=\(\frac{289}{160}\)
\(\frac{1}{2}+\frac{1}{4}+\frac{4}{8}+\frac{4}{10}+\frac{1}{32}+\frac{4}{64}\)
\(=\frac{1}{2}+\frac{1}{4}+\frac{1}{2}+\frac{2}{5}+\frac{1}{32}+\frac{1}{16}\)
\(=\frac{80}{160}+\frac{40}{160}+\frac{80}{160}+\frac{64}{160}+\frac{5}{160}+\frac{10}{160}\)
\(=\frac{120}{160}+\frac{80}{160}+\frac{64}{160}+\frac{5}{160}+\frac{10}{160}\)
\(=\frac{200}{160}+\frac{64}{160}+\frac{5}{160}+\frac{10}{160}\)
\(=\frac{264}{160}+\frac{5}{160}+\frac{10}{160}\)
\(=\frac{269}{160}+\frac{10}{160}\)
\(=\frac{279}{160}\)
~HT~
Bài 2:
Ta có: \(\frac{x+1}{x}=10\) hay \(\frac{x^1+1^1}{x^1}=10^1\)
Nên suy ra : \(\frac{x^5+1}{x^5}=10^5\)
= 100000 ( do 15 cũng sẽ =1 nên không viết mũ 5 cũng chả sao)
Ta có (42 - 1)(42 + 1) = 44 - 1
Ta có 15A = (42 - 1)(42 + 1)(44 + 1)(48 + 1)(416 + 1)(432 + 1) - 464 = 464 - 1 - 464 = -1
=> A = \(\frac{-1}{15}\)
Ta có:\(A=\left(4+1\right)\left(4^2+1\right)\left(4^4+1\right)\left(4^8+1\right)\left(4^{16}+1\right)\left(4^{32}+1\right)\)
\(\Rightarrow3A=\left(4-1\right)\left(4+1\right)\left(4^2+1\right)\left(4^4+1\right)\left(4^8+1\right)\left(4^{16}+1\right)\left(4^{32}+1\right)\)
\(\Rightarrow3A=\left(4^2-1\right)\left(4^2+1\right)\left(4^4+1\right)\left(4^8+1\right)\left(4^{16}+1\right)\left(4^{32}+1\right)\)
\(\Rightarrow3A=\left(4^4-1\right)\left(4^4+1\right)\left(4^8+1\right)\left(4^{16}+1\right)\left(4^{32}+1\right)\)
\(\Rightarrow3A=\left(4^8-1\right)\left(4^8+1\right)\left(4^{16}+1\right)\left(4^{32}+1\right)\)
\(\Rightarrow3A=\left(4^{16}-1\right)\left(4^{16}+1\right)\left(4^{32}+1\right)\)
\(\Rightarrow3A=\left(4^{32}-1\right)\left(4^{32}+1\right)\)
\(\Rightarrow3A=4^{64}-1\)
\(\Rightarrow3A=B\)