Eksponen
Penjelasan dengan langkah-langkah:
[tex]\sf a) \left(\dfrac{a^{-5}\ b^{-3}}{a^{-7}.b^{-5}}\right)^{-1}=[/tex]
[tex]\sf = \left(\dfrac{a^{-7}\ b^{-5}}{a^{-5}.b^{-3}}\right)[/tex]
[tex]\sf = a^{-7+5}. b^{-5+3} = a^{-2}. b^{-2}[/tex]
[tex]\sf = \left(\dfrac{1}{a^2.b^2}\right) = \left(\dfrac{1}{a.b}\right)^2\\[/tex]
[tex]\sf b)\left(\dfrac{r^{-1}. s^2 . t^{-2}}{r^{-3} . s^{-4} .t^2}\right)^{-1}[/tex]
[tex]\sf =\dfrac{r^{-3}. s^{-4} . t^{2}}{r^{-1} . s^{2} .t^{-2}}[/tex]
[tex]\sf = \dfrac{t^{2+2}}{r^{-1+3} . s^{2+4}}[/tex]
[tex]\sf = \dfrac{t^{4}}{r^{2} . s^{6}}[/tex]