b ) 1000 . 10 . 10
c ) 3 15 : 3 5
d ) 9 8 : 3
e ) 125 : 53
B2 : Tính giá trị biểu thức
a ) 12 : { 390 : [ 500 – ( 125 + 35 . 7 ) ] }
b) 12000 – ( 15000 . 2 + 18000 . 3 + 18000 . 2 : 3 )
c ) 5 . { 26 – [ 3 . ( 5 + 2 . 5 ) + 15 ] : 15 }
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1.
x.x.y.y.x.y.x=(x.x.x.x) (y.y.y)=x4.y3=(x.y)4.3=xy12
1000.10.10=103.10.10=103+1+1=105
315:35=315–5=310
98:3=(32)8:3=316:3=316–1=315
125:53=53:53=1
a)23.22.24=2(3+2+4)=29
b)102.103.105=10(2+3+5)=1010
c)X.X5=X1.X5=X(1+5)=X6
d)a3.a2.a5=a(3+2+5)=a10
a. 2^3 . 2^2 . 2^4
= 2^9
b. 10^2 . 10^3 . 10^5
= 10^10
c. x. x^5
= x^6
d. a^3 . a^2 . a^5
= a^10
a) \(2^3.2^2.2^4\)
\(=2^{3+2+4}\)
\(=2^9\)
b) \(10^2.10^3.10^5\)
\(=10^{2+3+5}\)
\(=10^{10}\)
c) \(x.x^5=x^1.x^5=x^6\)
d) \(a^3.a^2.a^5=a^{3+2+5}=a^{10}\)
a, 48.84
= (22)8.(23)4
= 216.212
= 228
b, 415.515
= (4.5)15
= 2015
c, 210.15 + 210.85
= 210.(15 + 85)
= 210.100
=210.(2.5)2
= 212.52
d, 33.92
= 33 . (32)2
= 33.34
= 37
e, 512.7 - 511.10
= 511.(5.7 - 10)
= 511.25
=511.52
=513
f, \(x^1\).\(x^2\).\(x^3\)....\(x^{100}\)
= \(x^{1+2+3+...+100}\)
= \(x^{\left(1+100\right).100:2}\)
= \(x^{5050}\)
1.
a) \(3^4\times3^5\times3^6=3^{4+5+6}=3^{15}\)
b) \(5^2\times5^4\times5^5\times25=5^2\times5^4\times5^5\times5^2=5^{2+4+5+2}=5^{13}\)
c) \(10^8\div10^3=10^{8-3}=10^5\)
d) \(a^7\div a^2=a^{7-2}=a^5\)
2.
\(987=900+80+7\\ =9\times100+8\times10+7\\ =9\times10^2+8\times10^1+7\times10^0\)
\(2021=2000+20+1\\ =2\times1000+2\times10+1\times1\\ =2\times10^3+2\times10^1+1\times10^0\)
\(abcde=a\times10000+b\times1000+c\times100+d\times10+e\times1\\ =a\times10^4+b\times10^3+c\times10^2+d\times10^1+e\times10^0\)
Bài 1:
a) x.x.y.y.x.y.x = \(x^4.y^3\)
b) 1000.10.10= 1000. \(10^2\)
c) \(3^{15}:3^5=3^{15-5}=3^{10}\)
d) \(9^8:3=3^{16}:3=3^{15}\)
e) \(125:5^3=\dfrac{125}{5^3}=\dfrac{5^3}{5^3}=1\)
B2: