X=4^2.4^3/2^10
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42.43/210
= (22)2.(22)3/210
= 24.26/210
= 210/210
= 1
Ủng hộ mk nha ☆_☆^_-
\(\frac{4^2.4^3}{2^{10}}=\frac{4^{2+3}}{2^{2.5}}=\frac{4^5}{4^5}=1\)
\(M=\dfrac{2^2.3^2.4^2.....20^2}{1.3.2.4.3.5.4.6.5.7.6.8.7.9....19.21}=\)
\(=\dfrac{2^2.3^2.4^2....20^2}{1.2.3^2.4^2....19^2.20.21}=\dfrac{2.20}{21}=\dfrac{40}{21}\)
\(N=\dfrac{1}{2}.\dfrac{2}{3}.\dfrac{3}{4}.....\dfrac{10}{11}=\dfrac{1}{11}\)
1. ... \(\Leftrightarrow\left(x-2\right)^2-\left(x^2-9\right)=6\Leftrightarrow\left(x-2\right)^2-\left(x\right)^2=-3\Leftrightarrow\left(x-2-x\right)\left(x-2+x\right)=-3\)
\(\Leftrightarrow-2\left(2x-2\right)=-3\Leftrightarrow4x-4=3\Leftrightarrow4x=7\Leftrightarrow x=\frac{7}{4}\)
2. ... \(\Leftrightarrow4\left(x-3\right)^2-\left(4x^2-1\right)=10\Leftrightarrow\left[2\left(x-3\right)\right]^2-\left(2x\right)^2=9\)
\(\Leftrightarrow\left(2x-6-2x\right)\left(2x-6+2x\right)=9\Leftrightarrow-6\left(4x-6\right)=9\Leftrightarrow-24x=-27\Leftrightarrow x=\frac{9}{8}\)
3. ... \(\Leftrightarrow\left(x-4\right)^2-\left(x^2-4\right)=6\Leftrightarrow\left(x-4\right)^2-\left(x\right)^2=2\Leftrightarrow\left(x-4-x\right)\left(x-4+x\right)=2\)
\(\Leftrightarrow-4\left(2x-4\right)=2\Leftrightarrow-8x=-14\Leftrightarrow x=\frac{7}{4}\)
4. ... \(\Leftrightarrow9\left(x+1\right)^2-\left(9x^2-4\right)=10\Leftrightarrow\left[3\left(x+1\right)\right]^2-\left(3x\right)^2=6\)
\(\Leftrightarrow\left(3x+3-3x\right)\left(3x+3+3x\right)=6\Leftrightarrow3\left(6x+3\right)=6\Leftrightarrow6x=-1\Leftrightarrow x=-\frac{1}{6}\)
Ta có : (x - 2)2 - (x - 3) (x + 3) = 6
<=> (x2 - 4x + 4) - (x2 - 32) = 6
=> x2 - 4x + 4 - x2 + 9 = 6
=> -4x + 13 = 6
=> -4x = -7
=> x = \(\frac{7}{4}\)
=>
\(x=\frac{4^2.4^3}{2^{10}}=\frac{4^5}{2^{10}}=\frac{\left(2^2\right)^5}{2^{10}}=\frac{2^{10}}{2^{10}}=1\)
TL
c2 = \(\frac{4^2.4^3}{2^{10}}\)=\(\frac{2^4.2^6}{2^{10}}\)= 1
HT