Salutare!
Pentru a rezolva exercițiile date, ne amintim de formula:
- [tex]\displaystyle{(\frac{a}{b})^{x}=\frac{a^{x}}{b^{x}}}[/tex]
Punctul a)
[tex]\displaystyle{(\frac{6}{7})^{2}=\frac{6^{2}}{7^{2}}=\frac{36}{49}}[/tex]
Punctul b)
[tex]\displaystyle{(\frac{-3}{5})^{3}=\frac{(-3)^{3}}{5^{3}}=\frac{-27}{125}=-\frac{27}{125} }[/tex]
Punctul c)
[tex]\displaystyle{(\frac{4}{5})^{4}=\frac{4^{4}}{5^{4}}=\frac{ 256}{625} }[/tex]
Punctul d)
[tex]\displaystyle{(\frac{3^{4}\times 5^{3}}{2^{5}})^{2}=(\frac{81 \times 125}{32})^{2} =(\frac{10125}{32})^{2} =\frac{10125^{2}}{32^{2}}=\frac{102515625}{1024} }[/tex]
- Lumberjack25
