(22+4).2n=32
(4+4).2n=32
8.2n=32
2n=32:8
2n=4
2n=22
n=2
\(\left(2^2+4\right).2^n=32\)
\(\Rightarrow2^3.2^n=2^5\)
\(\Rightarrow2^n=2^2\)
\(\Rightarrow n=2\)
Ta có: \(\left(2^2+4\right)\cdot2^n=32\)
\(\Leftrightarrow2^n=4\)
hay n=2
(22+4).2n=32
(4+4).2n=32
8.2n=32
2n=32:8
2n=4
2n=22
n=2
\(\left(2^2+4\right).2^n=32\)
\(\Rightarrow2^3.2^n=2^5\)
\(\Rightarrow2^n=2^2\)
\(\Rightarrow n=2\)
Ta có: \(\left(2^2+4\right)\cdot2^n=32\)
\(\Leftrightarrow2^n=4\)
hay n=2
Tìm n biết:
a) \(\dfrac{32}{\left(-2\right)^n}=4\)
b) \(\dfrac{8}{2^n}\)\(=2\)
c) \(\left(\dfrac{1}{2}\right)^{2n-1}\)\(=\dfrac{1}{8}\)
\(\left(4\frac{1}{6}x^2-\frac{2}{3}\right)\left(-0,75x-\frac{21}{32}\right)\left(\frac{5}{6}\left|x\right|-3\frac{1}{3}\right)\)\(\left(4\frac{1}{2}x^4+1\frac{1}{3}x\right)=0\)
\(\left(4\frac{1}{6}x^2-\frac{2}{3}\right)\left(-0,75x-\frac{21}{32}\right)\left(\frac{5}{6}\left|x\right|-3\frac{1}{3}\right)\)\(\left(4\frac{1}{2}x^4+1\frac{1}{3}x\right)=0\)
Cho mk hỏi :
tìm x,biết
a,\(-3\dfrac{1}{2}\)x -0,75-1,25x=\(\left(\dfrac{-1}{2}\right)^2:\dfrac{-3}{4}+\dfrac{1}{6}\)
b, \(\dfrac{-2}{3}-\left(\dfrac{x}{2}-75\%\right)=\left(\dfrac{3}{-4}-\dfrac{9}{8}\right)^2:\dfrac{-3}{32}-1\dfrac{1}{3}\)
Tìm x biết:
\(a,\left(x-\dfrac{3}{4}\right)+50\%=\dfrac{1}{6}\)
\(b,\dfrac{1}{2}x-\dfrac{5}{6}x=\dfrac{7}{2}\)
\(c,\left(4-x\right)\left(3x+5\right)=0\)
\(d,\dfrac{x}{16}=\dfrac{50}{32}\)
\(e,\left(2x-3\right)+\dfrac{3}{2}=-\dfrac{1}{4}\)
a) tìm các Ư
\(Ư\left(12^2\right)\)
\(Ư\left(18^2\right)\)
\(Ư\left(24^2\right)\)
\(Ư\left(32^2\right)\)
\(Ư\left(36^2\right)\)
\(Ư\left(48^2\right)\)
\(Ư\left(50^2\right)\)
\(Ư\left(60^2\right)\)
\(Ư\left(64^2\right)\)
\(Ư\left(72^2\right)\)
\(Ư\left(90^2\right)\)
\(Ư\left(96^2\right)\)
\(Ư\left(100^2\right)\)
b) tìm các \(ƯC\) ở câu a
1. tìm ước
a) \(Ư\left(12^2\right)=\)
b) \(Ư\left(18^2\right)=\)
c) \(Ư\left(24^2\right)=\)
d) \(Ư\left(32^2\right)=\)
Chứng minh rằng:
a)\(\frac{1}{2^2}+\frac{1}{3^2}+\frac{1}{4^2}+...+\frac{1}{2010^2}\)<1
b)\(\frac{1}{2}+\frac{2}{2^2}+\frac{3}{2^3}+\frac{4}{2^4}+...+\frac{100}{2^{100}}\)<2
c)\(\frac{1}{3}+\frac{2}{3^2}+\frac{3}{3^3}+...+\frac{100}{3^{100}}\)<\(\frac{3}{4}\)
d)\(\frac{1}{3^3}+\frac{1}{4^3}+\frac{1}{5^3}+...+\frac{1}{n^3}\)<\(\frac{1}{12}\)\(\left(n\in N;n\ge3\right)\)
e)\(\frac{3}{4}+\frac{5}{36}+\frac{7}{144}+...+\frac{2n+1}{n^2\left(n+1\right)^2}\)<1 (n nguyên dương)
g)\(\frac{1}{31}+\frac{1}{32}+\frac{1}{33}+...+\frac{1}{2048}\)>3
h)\(\left(\frac{2}{1}\right)\left(\frac{4}{3}\right)\left(\frac{6}{5}\right)...\left(\frac{200}{199}\right)\)
Tính nhanh:\(\left(32^2-1^2\right)+\left(34^2-3^2\right)+\left(36^2-5^2\right)+...+\left(56^2-25^2\right)+\left(58^2-27^2\right)+\left(60^2-29^2\right)\)