Matematică, întrebare adresată de Utilizator anonim, 9 ani în urmă

va rog foarte urgent punctul 7

Anexe:

Răspunsuri la întrebare

Răspuns de nitugheorghe57
0
Mult succes în continuare!
Anexe:
Răspuns de tcostel
1
   
[tex]\displaystyle\\ \left\{\left[\left( \frac{2}{3} \right)^{\b{2008}}\cdot \left(\frac{2}{3}\right)^{\b2}~\right]^{\b2}:\left(\frac{2}{3}\right)^{\b{20}} -\left(\frac{2}{3}\right)^{\b{4000}} \right\}\cdot \left( \frac{26}{87} \right)^{\b2}=\\\\\\ =\left\{\left[\left( \frac{2}{3} \right)^{\b{2008+2}}~\right]^{\b2}:\left(\frac{2}{3}\right)^{\b{20}} -\left(\frac{2}{3}\right)^{\b{4000}} \right\}\cdot \left( \frac{26}{87} \right)^{\b2}=[/tex]


[tex]\displaystyle\\ =\left\{\left[\left( \frac{2}{3} \right)^{\b{2010}}~\right]^{\b2}:\left(\frac{2}{3}\right)^{\b{20}} -\left(\frac{2}{3}\right)^{\b{4000}} \right\}\cdot \left( \frac{26}{87} \right)^{\b2}=\\\\\\ =\left\{\left( \frac{2}{3} \right)^{\b{2010\times2}}~:\left(\frac{2}{3}\right)^{\b{20}} -\left(\frac{2}{3}\right)^{\b{4000}} \right\}\cdot \left( \frac{26}{87} \right)^{\b2}= [/tex]


[tex]\displaystyle\\ =\left\{\left(\frac{2}{3}\right)^{\b{4020}}:\left(\frac{2}{3}\right)^{\b{20}}-\left(\frac{2}{3}\right)^{\b{4000}}\right\}\cdot\left(\frac{26}{87} \right)^{\b2}=\\\\\\ =\left\{\left(\frac{2}{3}\right)^{\b{4020~-~20}}-\left(\frac{2}{3}\right)^{\b{4000}} \right\}\cdot\left(\frac{26}{87}\right)^{\b2}=\\\\\\ =\left\{\left(\frac{2}{3}\right)^{\b{4000}}-\left(\frac{2}{3}\right)^{\b{4000}} \right\}\cdot\left(\frac{26}{87} \right)^{\b2}=0\cdot\left(\frac{26}{87} \right)^{\b2} = \boxed{\bf0}[/tex]



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