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\(\left(6^{2007}-6^{2006}\right):6^{2006}\\ =6^{2007}:6^{2006}-6^{2006}:6^{2006}\\ =6^{2007-2006}-6^{2006-2006}\\ =6^1-6^0\\ =6-1=5\)
\(\left(9^{2018}-3^{4036}\right):6^{2006}\\ \Rightarrow\left[\left(3^2\right)^{2018}-3^{4036}\right]:6^{2006}\\ \Rightarrow\left(3^{4036}-3^{4036}\right):6^{2006}\\ \Rightarrow0:6^{2006}\\ \Rightarrow0\)
\(=\dfrac{\left(3^2\right)^{2018}-3^{4036}}{6^{2006}}=\dfrac{3^{4036}-3^{4036}}{6^{2006}}=0\)
\(T=5+5^2+5^3+...+5^{2000}\)
=>\(5T=5^2+5^3+5^4+...+5^{2001}\)
=>\(5T-T=5^2+5^3+...+5^{2001}-5-5^2-...-5^{2000}\)
=>\(4T=5^{2001}-5\)
=>\(4T+5=5^{2001}\)
Sửa đề:\(4T+5=5^m\)
=>\(5^m=5^{2001}\)
=>m=2001
T=5+52+53+...+52000
=>5T=52+53+54+...+52001
=>5T−T=52+53+...+52001−5−52−...−52000
=>4T=52001−5
=>4T+5=52001
Ta có:4T+5=5m
=>52001=5m
=>m=2001
Vậy m=2001
A = [1104 - (25 . 8 + 40)] . 9 + 316 : 312 + 170 = [1104 - (200 + 40)] . 9 + 316-12 + 1 = (1104 - 240) . 9 + 34 + 1
= 864 . 9 + 81 + 1 = 7776 + 82 = 7858
{ [ ( 1 + 2 ) x 3 - 4 ] : 5 + 6 }x7^8
= { [ 3 x 3 - 4 ] : 5 + 6 }
= { [ 9 - 4 ] : 5 + 6 }
= { 5 : 5 + 6 }
= { 1 + 6 }
= 7
KẾT BẠN NHA
a) \(5^2.13^2+4.75-25.165\)
\(=25.169+300-4125\)
\(=4225+300-4125\)
\(=\left(4225-4125\right)+300\)
\(=100+300\)
\(=400\)
Ta có : 52 . 132 + 4 . 75 - 25 . 165
= ( 5 . 13 ) . ( 5 . 13 ) + 4 . 3 . 25 - 25 . 165
= 65 . 65 + 12 . 25 - 25 . 165
= 652 - 25 . 165 + 12 .25
= 4225 - 3825 = 400
a,(-23).(-3).(+4).(-7)
= 69.(+4).(-7)
= 276.(-7)
= -1932
b,2.8.(-14).(-3)
= 16.(-14).(-3)
= -224.(-3)
= 672
= (-123) x (-25) - 123 x 89 + 123 x 89 - 123 x 125
= 123 x 25 - 123 x 89 + 123 x 89 - 123 x 125
= 123 x (25 - 125) - (123 x 89 - 123 x 89)
= 123 x (-100) - 0
= -12 300
a: \(=\dfrac{216+3\cdot36+27}{13}=\dfrac{351}{13}=27\)
b: \(=\dfrac{1140-200-40}{9}+3^4=900+81=981\)
\(a)\dfrac{5^{2001}-5^{2000}}{5^{2000}}=\dfrac{5^{2001}}{5^{2000}}-1=5-1=4\)
\(b)\dfrac{6^{2007}-6^{2006}}{6^{2006}}=\dfrac{6^{2007}}{6^{2006}}-1=6-1=5\)