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a. =[(-4)(-25)].3=100.3=300
b. =[(-8).125][5.2]=-1000.10=-10000
c. =[25.(-4)][(-5).20]=-100(-100)=10000
bủh
1: 8=2^3
2: 25=5^2
3: 4=2^2
4: 49=7^2
5: 81=9^2
6: 36=6^2
7: 100=10^2
8: 121=11^2
9: 144=12^2
10: 169=13^2
11: 27=3^3
12: 125=5^3
13: 1000=10^3
14: 32=2^5
15: 243=3^5
16: 343=7^3
17: 216=6^3
18: 64=4^3
19: 225=15^2
20: 128=2^7
`@` `\text {Ans}`
`\downarrow`
`x^3 = 125`
`=> x^3 = 5^3`
`=> x = 5`
Vậy, `x = 5`
_____
`4^5 \div 4^3`
`=`\(4^{5-3}\)
`= 4^2`
______
\(8^{12}\cdot8^3\div8^{15}\)
`=`\(8^{12+3-15}\)
`=`\(8^0=1\)
______
\(7^{15}\div7^{13}\)
`=`\(7^{15-13}\)
`=`\(7^2\)
_______
\(17^{15}\cdot17^{10}\div17^{22}\)
`=`\(17^{15+10-22}\)
`= 17^3`
_______
\(5^{10}\cdot25\div5^{11}\)
`=`\(5^{10}\cdot5^2\div5^{11}\)
`=`\(5^{10+2-11}\)
`= 5`
_______
\(15^{10}\cdot225\div15^{11}\)
`=`\(15^{10}\cdot15^2\div15^{11}\)
`=`\(15^{12}\div15^{11}\)
`= 15`
`@` `\text {Kaizuu lv uuu}`
\(x^3=125\)
\(\Rightarrow x^3=5^3\)
\(\Rightarrow x=3\)
___________________
\(4^5:4^3\)
\(=4^{5-3}\)
\(=4^2=16\)
___________________
\(8^{12}.8^3:8^{15}\)
\(=8^{15}:8^{15}\)
\(=1\)
___________________
\(7^{15}:7^{13}\)
\(=7^{15-13}\)
\(=7^2=49\)
___________________
\(17^{15}.17^{10}:17^{22}\)
\(=17^{25}:17^{22}\)
\(=17^3=4913\)
___________________
\(5^{10}.25:5^{11}\)
\(=5^{10}.5^2:5^{11}\)
\(=5^{12}:5^{11}\)
\(=5^1=5\)
___________________
\(15^{10}.225:15^{11}\)
\(=15^{10}.15^2:15^{11}\)
\(=15^{12}:15^{11}\)
\(=15^1=15\)
__________________
* an . am = an+m
an : am = an-m
Chúc bạn học tốt
a. 24 x (-125 + 225)
= 24 x 100
=2400
b. -125 x ( 24 -36 )
= -125 x -12
= 1500
c. 512 x (2 -128+128)
= 512 x 2
= 1024
d. \([4.25].\left[\left(-2\right).\left(-5\right)\right].\left[125.\left(-8\right)\right]\)
= 100.10.(-1000)
= -1000000
a. 24 x (-125 + 225)
= 24 x 100
=2400
b. -125 x ( 24 -36 )
= -125 x -12
= 1500
c. 512 x (2 -128+128)
= 512 x 2
= 1024
d.
= 100.10.(-1000)
= -1000000
a) (1/4)3 x (1/8)2
= [(1/2)2]3 x [(1/2)3]2
= (1/2)6 x (1/2)6
= (1/2)12
b) 42 x 32: 23
= (22)2 x 25: 23
= 24 x 25: 23
= 24 x 22
= 26
c) 25 x 53 x 1/625 x 53
= 52x 53 x (1/5)4 x 53
= (1/5)4 x 58
= 1/54 x 58 (giải thích nếu ko hiểu: (1/5)4= 14/54= 1/54)
= 58/54
= 54
d) 56 x 1/20 x 22 x 32 : 125
= 56/20 x (2x3)2 : 53
= 56/ (5x4) x 62: 53
= 55/4 x 62/53 (62/53 là dạng phân số, bản chất vẫn là lấy 62 chia 53)
= 55 x 62/ 4x 53 (nhân phân số: tử nhân tử, mẫu nhân mẫu)
= 52x 62/ 22 (chia 55 cho 53 ra 52)
= 302/ 22
= 152
*Kiến thức áp dụng:
amx an = am+n
am: an= am-n
(am)n = am x n
am x bm = (a x b)m
C =[125.(73-75)]:(-25)2
=125.(-2):(-25).2
=-250:(-50)
=5
E=125.9.(-4).(-8).25.7
=125.(-8).25.(-4).7.9
=-1000.(-100).63
=6300000
C = ( 125 . 73 - 125 . 75 ) : ( -50)
C = 125 .( -2 ) : (-50)
C = -250 : -50
C = 50
G = ( -3 )2+( -5)3: l -5 l
G = 9 + ( -125) : 5
G = 9 + ( -25 )
G= ( -16 )
E = 125 .9.*( -4 ) . ( -8) .25.7
E = 25.5 .( -4 ) .9 .2. ( -4 ) .25 .7
E =( -100 ).10.( -100).63
E = 10000.630
E = 630000
**** mha
5.200 = 125.8 = 1000
225.4 = 900
4.25.4 = 400
5.200