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\(a)9.4.25.8.125\)
\(=9.\left(4.25\right).\left(8.125\right)\)
\(=9.100.1000\)
\(=900.1000\)
\(=900000\)
\(a,9.4.25.8.125=9.\left(4.25\right).\left(8.125\right)=9.100.1000=900000\)
\(b,25.5.27.2\)(câu này hình như thiếu đề, ko tính nhanh đc)
\(c,37.7+80.3+43.7\)\(=7.\left(37+43\right)+80.3\)\(=7.80+3.80=80\left(7+3\right)=80.10=800\)
\(d,113.38+113.62+87.62+87.38\)\(=113\left(38+62\right)+87\left(62+38\right)\)
\(=113.100+87.100=100.\left(113+87\right)=100.200=20000\)
Viết gọn lũy thừa:
\(a,x.x.y.y.x.y.x=\left(x.x.x.x\right).\left(y.y.y\right)=x^4.y^4\)
\(b,7^5:343=7^5:7^3=7^{5-3}=7^2\)
\(c,A^{12}:A^{18}=A^{12-18}=A^{-6}\)
\(d,x^7.x^4.x=x^{7+4+1}=x^{12}\)
1) a) 4⁸.2²⁰ = (2²)⁸.2²⁰
= 2¹⁶.2²⁰ = 2³⁶
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9¹².27⁵.81³ = (3²)¹².(3³)⁵.(3⁴)⁴
= 3²⁴.3¹⁵.3¹⁶ = 3⁵⁵
--------
64³.4⁵.16² = (4³)³.4⁵.(4²)²
= 4⁹.4⁵.4⁴ = 4¹⁸
b) 25²⁰.125⁴ = (5²)²⁰.(5³)⁴
= 5⁴⁰.5¹² = 5⁵²
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x⁷.x³.x⁴ = x¹⁴
--------
3⁶.4⁶ = (3.4)⁶ = 12⁶
2) a) 2² = 4
2³ = 8
2⁴ = 16
2⁵ = 32
2⁶ = 64
2⁷ = 128
2⁸ = 256
2⁹ = 512
2¹⁰ = 1024
b) 3² = 9
3³ = 27
3⁴ = 81
3⁵ = 243
c) 4² = 16
4³ = 64
4⁴ = 256
d) 5² = 25
5³ = 125
5⁴ = 625
bài 11
\(6.6.6.6=6^4\) '\(b.5.15.15.15.3=15.15.15.15=15^4\)
\(c.81.3.3.3=3^4.3^3=3^7\)
bài 12.
\(a.765.5=153.5^2\)
\(b.837.7.7=93.21^2\)
\(c.568.8.2.4=71.8.2^6=71.2^9\)
\(7\cdot7\cdot7\cdot7=7^4\)
\(2\cdot2\cdot5\cdot2\cdot2=\left(2\cdot2\cdot2\right)\cdot\left(5\cdot5\right)=2^3\cdot5^2\)
\(3\cdot5\cdot15\cdot15=3\cdot5\cdot5\cdot3\cdot3\cdot5=\left(3\cdot3\cdot3\right)\cdot\left(5\cdot5\cdot5\right)=3^3\cdot5^3\)
\(1000\cdot10\cdot10=10\cdot10\cdot10\cdot10\cdot10=10^5\)
A)3^3. 7^7
B)4^9. 3^21
C)2^4036
D)x.x.x.x.y.y=x^4. y^2
E)a.a^3.a.a.a.b.b.b=a^7.b^3
`a, = 5^3 xx 3^3 = 15^3`
`b, = 12^3 xx 4^3 = 48^3`
`c, = 625^3 xx 8^3 = 5000^3`
`d, = 625 ^3 xx 125^3 = 78125^3`
`e, = 5^20 : 5^14 = 5^6`
1,\(125\cdot27=5^3\cdot3^3=\left(5\cdot3\right)^3=15^3\)
2, \(12^3\cdot64=12^3\cdot4^3=\left(12\cdot4\right)^3=48^3\)
3, \(25^6\cdot8^3=\left(5^2\right)^6\cdot\left(2^3\right)^3=5^8\cdot2^9\)
4, \(25^6\cdot125^3=\left(5^2\right)^3\cdot\left(5^3\right)^3=5^6\cdot5^9=5^{15}\)
5,\(625^5:25^7=\left(5^4\right)^5:\left(5^2\right)^7=5^{20}:5^{14}=5^6\)
a) \(2^5.8^4=2^5.\left(2^3\right)^4=2^5.2^{12}=2^{5+12}=5^{17}\)
b) \(25^6.125^3=\left(5^2\right)^6.\left(5^3\right)^3=5^{12}.5^9=5^{12+9}=5^{21}\)
c) \(625^5:25^7=\left(5^4\right)^7:\left(5^2\right)^7=5^{28}:5^{14}=5^{28-14}=5^{14}\)
d) \(12^3.3^3=\left(12.3\right)^3=36^3\)
Dấu chấm là nhân nhé
minh anh sai rồi câu a là 2 mũ 17 mà ghi là 5 mũ 17
\(a,7\cdot7\cdot7\cdot7\\ =7^1\cdot7^1\cdot7^1\cdot7^1\\ =7^{1+1+1+1}=7^4\\ b,7\cdot35\cdot7\cdot25\\ =7\cdot\left(5\cdot7\right)\cdot7\cdot\left(5^2\right)\\ =7\cdot5\cdot7\cdot7\cdot5^2\\ =\left(7\cdot7\cdot7\right)\cdot\left(5\cdot5^2\right)\\ =\left(7^1\cdot7^1\cdot7^1\right)\cdot\left(5^1\cdot5^2\right)\\ =7^{1+1+1}\cdot5^{1+2}\\ =7^3\cdot5^3\\ c,2\cdot3\cdot8\cdot12\cdot24\\ =2\cdot3\cdot2^3\cdot\left(2^2\cdot3\right)\cdot\left(2^3\cdot3\right)\\ =\left(2\cdot2^3\cdot2^2\cdot2^3\right)\cdot\left(3\cdot3\cdot3\right)\\ =\left(2^1\cdot2^3\cdot2^2\cdot2^3\right)\cdot\left(3^1\cdot3^1\cdot3^1\right)\\ =2^{1+3+2+3}\cdot3^{1+1+1}\\ =2^9\cdot3^3\\ d,x\cdot x\cdot y\cdot y\cdot x\cdot y\cdot x\\ =\left(x\cdot x\cdot x\cdot x\right)\cdot\left(y\cdot y\cdot y\right)\\ =\left(x^1\cdot x^1\cdot x^1\cdot x^1\right)\cdot\left(y^1\cdot y^1\cdot y^1\right)\\ =x^{1+1+1+1}\cdot y^{1+1+1}\\ =x^4\cdot y^3\)