bentuk sederhana dari[-a^4b^6×(-a^2b^3)]:(-a^8b^9)adalah

Bentuk sederhana
Kaidah :
[tex]a^{m}.a^{n}=a^{m+n} \\ \\ \frac{a^m}{a^n}=a^{m-n} \\ \\ a^{0}=1 \\ \\ a^{-m}=\frac{1}{a^m}[/tex]

Jawab :

[tex]= \frac{(-a^{4}.b^{6}).(-a^{2}.b^{3})}{(-a^{8}.b^{9})} \\ \\ =(-a^{4+2-8}).(b^{6+3-9}) \\ \\ =(-a^{-2}).(b^{0}) \\ \\ = (\frac{1}{-a^{2}}).(1) \\ \\ = \frac{1}{-a^{2}}[/tex]