Odpowiedź:
[tex]m=-2[/tex]
Szczegółowe wyjaśnienie:
[tex]\left(\frac{\sqrt3}{3}\right)^{-3}:\left(\frac{\sqrt3}{3}\right)^{-7}=\left(\frac{\sqrt3}{3}\right)^{-3-(-7)}=\left(\frac{\sqrt3}{3}\right)^{-3+7}=\left(\frac{\sqrt3}{3}\right)^4=\frac{(\sqrt3)^4}{3^4}=\\\\=\frac{((\sqrt3)^2)^2}{3^4}=\frac{3^2}{3^4}=3^{2-4}=3^{-2}[/tex]
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Odpowiedź:
[tex]m=-2[/tex]
Szczegółowe wyjaśnienie:
[tex]\left(\frac{\sqrt3}{3}\right)^{-3}:\left(\frac{\sqrt3}{3}\right)^{-7}=\left(\frac{\sqrt3}{3}\right)^{-3-(-7)}=\left(\frac{\sqrt3}{3}\right)^{-3+7}=\left(\frac{\sqrt3}{3}\right)^4=\frac{(\sqrt3)^4}{3^4}=\\\\=\frac{((\sqrt3)^2)^2}{3^4}=\frac{3^2}{3^4}=3^{2-4}=3^{-2}[/tex]