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\(A=8^{2017}-8^{2016}+...+8-1\)
\(8A=8^{2018}-8^{2017}+...+8^2-8\)
\(8A+A=\left(8^{2018}-8^{2017}+...+8^2-8\right)+\left(8^{2017}-8^{2016}+...+8-1\right)\)
\(9A=8^{2018}-8^{2017}+...+8^2-8+8^{2017}-8^{2016}+...+8-1\)
\(9A=8^{2018}-1\)
\(9A+1=8^{2018}-1+1=8^{2018}=8^{n+2006}\)
=>n+2006=2018
=>n=12
\(a,\frac{8^{2017}-8^{2015}}{8^{2014}.8}\)
\(=\frac{8^{2015}.\left(8^2-1\right)}{8^{2015}}\)
\(=64-1\)
\(=63\)
\(b,\frac{2^8+8^3}{2^5.2^3}\)
\(=\frac{2^8+\left(2^3\right)^3}{2^8}\)
\(=\frac{2^8+2^9}{2^8}\)
\(=\frac{2^8.\left(1+2\right)}{2^8}\)
\(=3\)
Học tốt
82017 - 82015 = 82015(82 - 1) = 82015.63
82014.8 = 82014+1 = 82015
=> \(\frac{8^{2017}-8^{2015}}{8^{2014}\cdot8}=\frac{8^{2015}\cdot63}{8^{2015}}=63\)
28 + 83 = 28 + (23)3 = 28 + 29 = 28(1 + 2) = 28.3
25.23 = 25+3 = 28
=> \(\frac{2^8+8^3}{2^5\cdot2^3}=\frac{2^8\cdot3}{2^8}=3\)
= 8^10 : 8^8 - 6.9 + 2015 - 2014.1
=8^2 - 54 + 2015 - 2014
= 64-54+1
=11
Lời giải:
$(8^{2017}-8^{2015}):(8^{2104}.8)=8^{2015}(8^2-1):8^{2105}$
$=\frac{8^2-1}{8^{2105-2015}=\frac{8^2-1}{8^90}}$
(82017 - 82015) : (82014 . 8)
= (82017 - 82015) : 82015
= 82017 : 82015 - 82015 : 82015
= 82017 - 2015 - 82015 - 2015
= 82 - 80
= 64 - 1
= 63
thanks bạn