23^2^2^1^1^1^0
1. Tính :
a) 23 + 24 - ( 65 x 2 - 4 ) x 4 + 66 + 44 - ( 54 : 9 x 9 : 9 + 45 ) : 1 + 1 - 1 x ( 23 + 23 - 23 x 2 +1 ) = ???
b) 4444444444444444444444444444444444444444444444444444444444444444444 : 1 = ???
c ) 3^0 = ???
d)1/1 = ???
e ) Em hãy tả em =)).
1. Tính:
a) 23 + 24 - ( 65 x 2 - 4 ) x 4 + 66 + 44 - ( 54 : 9 x 9 : 9 + 45 ) : 1 + 1 - 1 x ( 23 + 23 - 23 x 2 +1 ) = 51
b) 4444444444444444444444444444444444444444444444444444444444444444444 : 1
= 4444444444444444444444444444444444444444444444444444444444444444444
c) 30 = 0
d) 1/1 = 1
e)
a) - 530
b) 44444444444444444444444444444444444444444444444444444444444444444444
c) 0
d) 1
e) Em là em
-530
444444444444444444444444444444444444444444444444444444444444444
0
1
...
23 + 3( 1/9)0 - 2 -2nhân 4 + [(-2)2:1/2] nhân 8
\(2^3+3\cdot\left(\dfrac{1}{9}\right)^0-2^{-2}\cdot4+\left[\left(-2\right)^2:\dfrac{1}{2}\right]\cdot8\)
\(=8+3\cdot1-\dfrac{1}{4}\cdot4+\left(4:\dfrac{1}{2}\right)\cdot8\)
\(=8+3-\dfrac{4}{4}+4\cdot2\cdot8\)
\(=11-1+8\cdot8\)
\(=10+64\)
\(=74\)
\(=8+3-2^{-2}\cdot2^2+\left[4\cdot2\right]\cdot8\)
=11-1+8*8
=64+10=74
=8+3−2^(−2)⋅2^2+[4⋅2]⋅8=8+3−2−2⋅22+[4⋅2]⋅8
=11-1+8*8
=64+10=74
Bài 4 : Tính giá trị các biểu thức :
a. A= 22 - (-32)3 + 4-2 .16-2.52 .
b. B= (23 : 1/2) . 1/2+3-2.9-7. (14/25)0+5 .
c. C= 2-3 + (52)3.5-3+4-3 . 16 -2.32-105. (24/51)0 .
d. D= (2-3.1/2-2).2/3+4-2.8-7.(17/23)0+19 .
A=\(2^2-9^3+4^{-2}.16-2.5^2\)
\(=4-729+1-50=-774\)
B=\(\left(2^3.2\right).\dfrac{1}{2}+3^{-2}.3^2-7.1+5\)
\(B=2^4.\dfrac{1}{2}+1-7+5=8+1-7+5=7\)
C = 2-3 + (52)3.5-3 + 4-3.16 - 2.32 - 105.(\(\dfrac{24}{51}\))0
C = \(\dfrac{1}{8}\) + 56.5-3 + 4-3.42 - 2.9 - 105.1
C = \(\dfrac{1}{8}\) + 53 + \(\dfrac{1}{4}\) - 18 - 105
C = (\(\dfrac{1}{8}\) + \(\dfrac{1}{4}\)) - (105 - 125 + 18)
C = \(\dfrac{3}{8}\) - (-20 + 18)
C = \(\dfrac{3}{8}\) + 2
C = \(\dfrac{19}{8}\)
D = 2-3 . \(\dfrac{1}{2^{-2}}\).\(\dfrac{2}{3}\) + 4-2.8 - 7. (\(\dfrac{17}{23}\))0 + 19
D = 2-1.\(\dfrac{2}{3}\) + \(\dfrac{1}{16}\).8 - 7.1 + 19
D = \(\dfrac{1}{3}\) + \(\dfrac{1}{2}\) - 7 + 19
D = \(\dfrac{5}{6}\) + (19 - 7)
D = \(\dfrac{5}{6}\) + 12
D = \(\dfrac{77}{6}\)
( -1/2 )^2 : ( -1/4 ) - 2 . ( -1/2 )^3 + ( 25 - 23 )^2 =
25^10 . (1/5)^20 + ( -3/4 )^8 . ( -4/3)^8 - 2016^0
\(\left(-\frac{1}{2}\right)^2\div\left(-\frac{1}{4}\right)-2\times\left(-\frac{1}{2}\right)^3+\left(25-23\right)^2\)
\(=\frac{1}{4}\div\left(-\frac{1}{4}\right)-2\times\left(-\frac{1}{8}\right)+2^2\)
\(=-1+\frac{1}{4}+4\)
\(=\frac{13}{4}\)
*****
\(25^{10}\times\left(\frac{1}{5}\right)^{20}+\left(-\frac{3}{4}\right)^8\times\left(-\frac{4}{3}\right)^8-2016^0\)
\(=25^{10}\times\left[\left(\frac{1}{5}\right)^2\right]^{10}+\left[\left(-\frac{3}{4}\right)\times\left(-\frac{4}{3}\right)\right]^8\)
\(=25^{10}\times\left(\frac{1}{25}\right)^{10}+1^8-0\)
\(=\left(25\times\frac{1}{25}\right)^{10}+1\)
\(=1^{10}+1\)
= 1 + 1
= 2
a) A= 32 . 1/243 . 812 .1/33
b) B= (4.25 ):(23 .1/6)
c) C= (-1/3)3 .(-1/3)2 .(-1/3)
d) D= (-1/3)-1 -(-6/7)0 +(1/2)2 :2
a) A = 3² . 1/243 . 81² . 1/3²
= 3² . 1/3⁵ . (3⁴)² . 1/3²
= 3² . 1/3⁷ . 3⁸
= 3¹⁰ . 1/3⁷
= 3³
= 27
b) B = (4.2⁵) : (2³ . 1/6)
= (4.32) : (8 . 1/6)
= 128 : 4/3
= 96
c) C = (-1/3)³.(-1/3)².(-1/3)
= (-1/3)³⁺²⁺¹
= (-1/3)⁶
= 1/729
d) D = (-1/3)⁻¹ - (-6/7)⁰ + (1/2)² : 2
= -3 - 1 + 1/4 : 2
= -4 + 1/8
= -31/8
Giải các phương trình sau:
1) 2 1 5 x 2) 2 1 5 x x
3) 3 1 2 x x 4) 3 2 2 x x
5) 2 1 5 x x 6) 3 2 x x
7) 2 3 2 1 x x 8) 2 1 4 1 0 x x 2
9) 2 5 4 3 1 1 2
3 2 3 1
x x
x x x x
10) 1 7 3 2
3 3 9
x x x
x x x
11) 5 296 2 1 3 1
16 4 4
x x
x x x
12)
2 4
1
2 1 2 1 2 1 2 1
x x
x x x x
13) 2 1 2 2
2 2
x
x x x x
14) 22 4
2 6 2 2 2 3
tìm x
a)(x-45).27=0
b)23.(42-x)=23
c)6.x-5=613
d)(x-47)-4^3=0
e)315+(146-x)=401
g)3^x-3^5=0
h)3^x+1-2=3^2+[5^2-3.(2^2-1)]
a)x=0+45
x=45
b)x=23:23=1
x=42-1
x=41
c)x=613+5=618
x=618:6
x=13
a)x=45
b)x=41
c)x=103
d)x=111
e)x=60
g)x=5
h)x=3x=26
1, 2 . ( 2, 4 . x - 0, 23 - 0,05 ) = 1,44
1,2 x (2,4 x n - 0,23 - 0,05) = 1,44
Coi phần trong ngoặc là thừa số :
(2,4 x n - 0,23 - 0,05) = 1,44 : 1,2
2,4 x n - 0,23 - 0,005 = 1,2
Coi 2,4 x n - 0,23 là số bị trừ
2,4 x n - 0,23 = 1,2 + 0,05
2,4 x n - 0,23 =1,25
Coi 2,4 x n là SBT
2,4 x n = 1,25 + 0,23
2,4 x n = 1,48
n=1,48 : 2,4 = 148/240
Cho a,b,c > 0 thoả a^2+b^2+c^2=23/12
Cmr 1/a +1/b -1/c < 1/abc