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Câu a:
(7\(^{2017}\) - 7\(^{2015}\)) ⋮ (7\(^{2014}\).7)
= 7\(^{2015}\).(7\(^2\) - 1) ⋮ 7\(^{2015}\)
= (7\(^{2015}\) : 7\(^{2015}\)).(49 - 1)
= 1.48
= 48
Câu b:
(2\(^{13}\) + 2\(^5\)) : (2\(^{10}\) + 2\(^2\))
= 2\(^5.\)(2\(^8\) + 1):[2\(^2\).(2\(^8\) + 1)]
= (2\(^5:2^2\)).[(\(2^8+1):\left(2^8+1\right)\)]
= 2\(^3\).1
= 8
CÂU 1
\(5^{n+1}+5^n=750\)
\(=>5^n\cdot5+5^n=750\)
\(=>5^n\cdot\left(5+1\right)=750\)
\(=>5^n\cdot6=750\)
\(=>5^n=750:6\)
\(=>5^n=125\)
\(=>5^n=5^3\)
\(=>n=3\)
a) 23 . 17 - 23 . 14
= 23(17-14)
=23. 3= 24
b) 80 - ( 4 . 5 - 3 . 23 )
= 80- 22. (5-3.2)= 80- 22.(-1)
= 80- 4.(-1)= 80- (-4)= 84
c) 35 - { 12 - [ -14 + ( -2) }
= 35 - { 12 - (-16) }
=35- 28= 7
d) 49 - ( -45) - 23
= 94-23= 71
e) 13 - 18 - ( -42) - 15
= -5 -(-42) -15
= -20+42= 22
g) -452 - ( -67 + 75 - 452 )
= -452- (8-452)
= -452 -(- 444)= -8
h) |31−17|−|13−52|
= 14- 39= -25
80 -(4.52 -3.23)
= 80- (4.25- 3.8)
= 80- (100-24)
= 80-76= 4
a,\(\left(77.54-54.75\right):54-3^5:3^3\)
\(=[54.\left(77-75\right)]:54-3^2\)
\(=[54.2]:54-9\)
\(=108:54-9=2-9=-7\)
b,\(|-12|+\left(-23\right)+\left(-15\right)+|-7|+9\)
\(=12+\left(-23\right)+\left(-15\right)+7+9\)
\(=-10\)
c,\(4^2+2^3.\left(168:2^2-6^2\right)\)
\(=16+8.\left(168:4-36\right)\)
\(=24.\left(42-36\right)=24.6=144\)
d,\(-35+17+\left(-45\right)+|-13|\)
\(=\left(-35+-45\right)+\left(17+13\right)\)
\(=-80+30=-50\)
HTDT