2mũ4; 3mũ2; 4mũ2; 4mũ3; 99mũ0;0mũ99;1mũ n
a) 2mũ1 nhân 5mũ2 nhân 17
b) 2mũ2 + 2mũ3 + 2mũ4
c) 2mũ5 nhân 3 + 2mũ4 : 8 + 50 : 5mũ2
d) 11mũ2 - 10mũ2 - 3mũ2
e) 1mũ3 + 2mũ3 + 3mũ3 + 4mũ3 + 5mũ3
a, 21.52.17 = 2.25.17 = 50.17 = 850
b, 22 + 23 + 24 = 4 + 8 + 16 = 28
c, 25.3 + 24:8 + 50: 52
= 32.3 + 16:8 + 50:25
=96 + 2 + 2
= 100
d, 112 - 102 - 32
= 121 - 100 - 9
= 21 - 9
= 12
e, 13 + 23 + 33 + 43 + 53
= ( 1+ 2+3+4+5)2
= 152
= 225
4mũ5.64+2mũ4
2-2mũ2+2mũ3-2mũ4+......+2mũ69
Bạn ấy viết như thế này nè :
2 - 22 + 23 - 24+...+269
\(\text{Đặt A=}2-2^2+2^3-2^4+...+2^{69}\)
\(-2A=2^2+2^3-2^4+2^5-...-2^{70}\)
\(-2A-A\left(-2^2+2^3-2^4+2^5-...-2^{70}\right)-\left(2-2^2+2^3-2^4+..+22^{69}\right)\)
\(-3A=-2-2^{70}\)
\(A=\frac{2+2^{70}}{3}\)
A=
tính A=4+2mũ2+2mũ3+2mũ4+................+2mũ20
\(A=4+2^2+2^3+..+2^{20}\)
\(\Rightarrow2A=8+2^3+2^4+...+2^{21}\)
\(\Rightarrow2A-A=\left(2^3+2^3+....+2^{21}\right)-\left(2+2+2^2+...+2^{20}\right)\)
\(\Rightarrow A=\left(2^3+2^{21}\right)-\left(2+2+2^2\right)\)
\(\Rightarrow A=2^{21}+8-8\)
\(\Rightarrow A=2^{21}\)
S=1+2mũ 2+2mũ4+2mũ6+............+2mũ 100
S = 2^0 + 2^2 + 2^4 +...+ 2^100
4S = 2^2 + 2^4 + 2^6 + ... + 2^100 + 2^102
4S - S = 2^2 + 2^4 + 2^6 + ... + 2^100 + 2^102 - ( 2^0 + 2^2 + 2^4 +...+ 2^100 )
3S = 2^102 - 1
S = ( 2^102 - 1 ) / 3
Chứng tỏ rằng 2+2mũ2+2mũ3+2mũ4+...+2mũ59+2mũ60
Tìm số tự nhiên x biết 2mũ4 - 2 ( 15 - x ) = 10
24 - 2 . (15 - x) = 10
16 - 2 . (15 - x) = 10
2 . (15 - x) = 16 - 10
2 . (15 - x) = 6
15 - x = 6 : 2
15 - x = 3
x = 15 - 3
x = 12
Chúc bạn học tốt!! ^^
Ta có: \(2^4-2\left(15-x\right)=10\)
\(\Leftrightarrow2\left(15-x\right)=6\)
\(\Leftrightarrow15-x=3\)
hay x=12
Tìm số tự nhiên x biết 2mũ4 - 2 ( 15 - x ) = 10
24 - 2(15 - x) = 10
16 - 2(15 - x) = 10
2(15 - x) = 16 -10
2(15 - x) = 6
15 - x = 6 : 2
15 - x = 3
x = 15 - 3
x = 12
Vậy x = 12
2^4 - 2(15 - x) = 10
16 - 2( 15 - x ) = 10
2( 15 - x ) = 16 - 10
2( 15 - x ) = 6
15 - x = 6 : 2
15 - x = 3
x = 15 - 3
x = 12
Ta có: \(2^4-2\left(15-x\right)=10\)
\(\Leftrightarrow2\left(15-x\right)=6\)
\(\Leftrightarrow15-x=3\)
hay x=12
Tìm số tự nhiên x biết 4 ( x - 5 ) - 2mũ3 = 2mũ4*3
4(x - 5) - 23 = 24 . 3
4(x - 5) - 8 = 48
4(x - 5) = 48 + 8
4(x - 5) = 56
x - 5 = 56 : 4
x - 5 = 14
x = 14 + 5
x = 19
Vậy x = 19
4( x - 5 ) - 2^3 = 2^4 . 3
4( x - 5 ) - 8 = 16 . 3
4( x - 5 ) - 8 = 48
4( x - 5 ) = 48 + 8
4( x - 5 ) = 56
x - 5 = 56 : 4
x - 5 = 14
x = 14 + 5
x = 19
Ta có: \(4\left(x-5\right)-2^3=2^4\cdot3\)
\(\Leftrightarrow4\left(x-5\right)=56\)
\(\Leftrightarrow x-5=14\)
hay x=19