chuyển phép tính sau sang dạng 1 lũy thừa
410:815
ai giúp mik đi mik đang cần gấp cảm ơn
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100.10.2.5
= (10.10).10.(2.5)
=10.10.10.10
= 10^4 (10 mũ 4 nhé )
C1: 100.10.2.5=102.10.10=104
C2: 100.10.2.5=100.10.10=100.100=1002
Chúc bạn học tốt!
`@` `\text {Ans}`
`\downarrow`
`g)`
`5*25*125`
`= 5*5^2 * 5^3`
`=`\(5^{1+2+3}=5^6\)
`h)`
`10*100*1000`
`= 10* 10^2 * 10^3`
`=`\(10^{1+2+3}\)
`= 10^6`
_____
`@` CT: \(a^m\cdot a^n=a^{m+n}\)
g) \(5\cdot25\cdot125\)
\(=5\cdot5^2\cdot5^3\)
\(=5^6\)
h) \(10\cdot100\cdot1000\)
\(=10\cdot10^2\cdot10^3\)
\(=10^6\)
3.
a) 4.4.4.4.4 = 45
b) 3.3.3.5.5.5 = 33 . 53
4.
a) 35 . 34 = 39
b) 53 . 55 = 58
c) 22
Hk tốt
\(2a^3x^2y.8a^2x^3y^4.16a^3x^3y^3\)
\(=16^2.a^8.x^8.y^8\)
\(=\left(2axy\right)^8\)
c: \(=\dfrac{-27\cdot100}{-30}=\dfrac{2700}{30}=90\)
\(a,\dfrac{11x}{2x-5}+\dfrac{x-30}{2x-5}=\dfrac{11x+x-30}{2x-5}=\dfrac{12x-30}{2x-5}=\dfrac{6\left(2x-5\right)}{2x-5}=6\)
\(b,\dfrac{3x^2-1}{2x}+\dfrac{x^2+1}{2x}=\dfrac{3x^2-1+x^2+1}{2x}=\dfrac{4x^2}{2x}=2x\)
\(c,\dfrac{3}{2x-5}+\dfrac{-2}{2x+5}+\dfrac{-20}{4x^2-25}=\dfrac{3\left(2x+5\right)}{\left(2x-5\right)\left(2x+5\right)}-\dfrac{2\left(2x-5\right)}{\left(2x-5\right)\left(2x+5\right)}-\dfrac{20}{\left(2x-5\right)\left(2x+5\right)}=\dfrac{6x+15-4x+10-20}{\left(2x-5\right)\left(2x+5\right)}=\dfrac{2x+5}{\left(2x-5\right)\left(2x+5\right)}=\dfrac{1}{2x-5}\)
\(d,\dfrac{x-2}{x-1}+\dfrac{x-3}{x+1}+\dfrac{4-2x^2}{x^2-1}=\dfrac{\left(x-2\right)\left(x+1\right)+\left(x-3\right)\left(x-1\right)+4-2x^2}{\left(x-1\right)\left(x+1\right)}=\dfrac{x^2-2x+x-2+x^2-3x-x+3+4-2x^2}{\left(x-1\right)\left(x+1\right)}=\dfrac{-5x+5}{\left(x-1\right)\left(x+1\right)}=\dfrac{-5\left(x+1\right)}{\left(x-1\right)\left(x+1\right)}=\dfrac{-5}{x-1}\)
\(e,\dfrac{x+1}{x-1}+\dfrac{1-x}{x+1}+\dfrac{4}{x^2-1}=\dfrac{\left(x+1\right)^2}{\left(x-1\right)\left(x+1\right)}-\dfrac{\left(x-1\right)^2}{\left(x-1\right)\left(x+1\right)}+\dfrac{4}{\left(x-1\right)\left(x+1\right)}=\dfrac{x^2+2x+1-x^2+2x-1+4}{\left(x-1\right)\left(x+1\right)}=\dfrac{4x+4}{\left(x-1\right)\left(x+1\right)}=\dfrac{4\left(x+1\right)}{\left(x-1\right)\left(x+1\right)}=\dfrac{4}{x-1}\)
410 : 815 = ( 22)10 : (23)15 = 220 : 245 = 2-25