Question

calculati b) [(3 pe 5)la puterea 6] la puterea 4 : (2 pe 3) la puterea 17

Answer 1

[(3/5)⁶]⁴:(2/3)¹⁷
O fractie se ridica la o putere ridicand si numaratorul si numitorul la acea putere.
(3/5)²⁴:(2/3)¹⁷=(3/5)²⁴·(3/2)¹⁷=(3²⁴/5²⁴)·(3¹⁷/2¹⁷)=(3²⁴·3¹⁷)/(5²⁴·2¹⁷)=3⁴¹/10⁴¹=(3/10)⁴¹

Answer 2

[tex](\frac{3}{5})^2^4:(\frac{2}{3})^1^7= (\frac{9}{15})^2^4:(\frac{10}{15})^1^7= (\frac{9}{15}X\frac{15}{10})^7=\frac{9}{10}^7=\frac{52612659}{10000000}[/tex]