Răspuns:
d.
a)
[tex]\left(\frac{1}{4}\right)^{18} = \frac{1^{18}}{4^{18}} = \frac{1}{4^{18}}[/tex]
[tex]4^{18} = (2^2)^{18} = 2^{2 \times 18} = 2^{36}[/tex]
[tex]\left(\frac{1}{4}\right)^{18} = \frac{1}{2^{36}}[/tex]
b.
[tex]\left(\frac{3}{5}\right)^{36} = \frac{3^{36}}{5^{36}}[/tex]
[tex]3^{36} = (3^2)^{18} = 3^{2 \times 18} = 3^{36}[/tex]
[tex]5^{36} = (5^2)^{18} = 5^{2 \times 18} = 5^{36}[/tex]
e.
[tex]a) Pentru ( \left(\frac{1}{5}\right)^{28} ):[/tex]
[tex][ \left(\frac{1}{5}\right)^{28} = \frac{1^{28}}{5^{28}} = \frac{1}{5^{28}} ][/tex]
[tex]b) Pentru ( \left(\frac{2}{6}\right)^{21} ):[/tex]
[tex][ \left(\frac{2}{6}\right)^{21} = \left(\frac{1}{3}\right)^{21} = \frac{1^{21}}{3^{21}} = \frac{1}{3^{21}} ][/tex]
