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\(125\%\cdot\left(\frac{-1}{2}\right)^2:\left(21-1,5\right)+2008^0\)
\(=\frac{5}{4}\cdot\frac{1}{4}:\left(21-\frac{3}{2}\right)+1\)
\(=\frac{5}{16}:\frac{39}{2}+1\)
\(=\frac{5}{312}+1\)
\(=\frac{317}{312}\)
`Answer:`
\(125\%.\left(-\frac{1}{2}\right)^2:\left(1\frac{5}{16}-1,5\right)+2008^0\)
\(=\frac{5}{4}.\frac{1}{4}:\left(\frac{21}{16}-\frac{3}{2}\right)+1\)
\(=\frac{5}{4}.\frac{1}{4}:\left(\frac{21}{16}-\frac{24}{16}\right)+1\)
\(=\frac{5}{16}:-\frac{3}{16}+1\)
\(=-\frac{5}{3}+1\)
\(=-\frac{2}{3}\)
1)=>3(x-5)(2x+9)+3(x-5)=0=>(x-5)(6x+30)
=>x-5=0=>x=5
6x+30=0=>x=-5
2)=>x^2-16=0=>x=+-4
12-4x=0=>x=3
3)=>9-x^2=0=>x=+-3
4x-8=0=>x=2
4)=>8-x^3=0=>x=3
5^x-125=0=>x=2
5)=>2^x.2^x=8=>2^2x=8=>2x=3=>x=1,5
\(a,4^{2x-6}=1\)\(\Leftrightarrow2x-6=0\Leftrightarrow2x=6\Rightarrow x=3\)
\(b,2^{2x-1}=16\Rightarrow2^{2x-1}=2^4\)
\(\Rightarrow2x-1=4\Rightarrow2x=5\Rightarrow x=\frac{5}{2}\)
\(c,5< 5^x< 125\Rightarrow5^1< 5^x< 5^3\)\(\Rightarrow1< x< 3\)
\(d,5^{x+1}=125\Rightarrow5^{x+1}=5^3\Rightarrow x+1=3\Rightarrow x=2\)
\(a,4^{2x-6}=1\)
\(4^{2x-6}=4^0\)
\(\Rightarrow2x-6=0\)
\(\Rightarrow2x=6\Leftrightarrow x=3\)
\(b,2^{x-1}=16\)
\(2^{x-1}=2^4\)
\(\Rightarrow x-1=4\)
\(\Rightarrow x=5\)
\(M=2^{2010}-\left(2^{2009}+2^{2008}+....+2+1\right)\)
Đặt :
\(A=2^{2008}+2^{2007}+........+2+1\)
\(\Leftrightarrow2A=2^{2009}+2^{2008}+.......+2\)
\(\Leftrightarrow2A-A=\left(2^{2010}+2^{2008}+.....+2\right)-\left(2^{2009}+2^{2008}+....+2+1\right)\)
\(\Leftrightarrow A=2^{2010}-1\)
\(\Leftrightarrow M=2^{2010}-\left(2^{2010}-1\right)\)
b) =24.26.(23)2:(22.25.24)
=24.26.26:(22+5+4)
=24+6+6:211
=216–211
=216–11
=25
câu a mình chịu nhưng bạn cứ thử tách các số cùng cơ số ra nhé
phần b :
16 . 64 . 82 : ( 40 . 25 . 16 )
= 24 . 26 . 26 : ( 20 . 25 . 24 )
= 216 : 29
= 27
KQ: 27