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Rezolvati va rog:
([tex] \frac{2}{5} [/tex])¹²: (0,4)¹⁰+ [tex] \frac{484}{100} [/tex]=
Faceti va rog rezolvarea completa.Dau 20 puncte.


Răspuns :

[tex] \frac{2^{12}}{5^{12}}: (\frac{2}{5}) ^{10}+ \frac{22^2}{10^2}= \frac{2^{12}}{5^{12}}* \frac{5^{10}}{2^{10}} + \frac{2^2*11^2}{2^2*5^2}=\\\\ = \frac{2^2}{5^2} + \frac{11^2}{5^2} = \frac{4+121}{25}= \frac{125}{25} = 5 [/tex]
[tex] (\frac{2}{5} )^{12}:(\frac{4}{10})^{10} + \frac{484}{100} =\\\\ = (\frac{2}{5} )^{12}: (\frac{2}{5})^{10} + \frac{484}{100} \\\\ =(\frac{2}{5} )^{12-10}+\frac{484}{100} \\\\ =(\frac{2}{5} )^{2}+\frac{484}{100} \\\\ = \frac{4}{25}+ \frac{484}{100}\\\\ = \frac{16+484}{100} \\\\ = \frac{500}{100} \\\\ \bold{=5}[/tex]