Explicação passo a passo:
b)
[tex]\frac{\left(a^2\right)^5\left(b^3\right)^3}{a^{-4}b^{-3}}[/tex]
[tex]\frac{a^{10}b^9}{a^{-4}b^{-3}}[/tex]
[tex]\frac{a^{14}b^9}{b^{-3}}[/tex]
[tex]a^{14}b^{12}[/tex]
c)
[tex]\left(\frac{a}{b}\right)^8\frac{b^{10}}{aa^2a^3}[/tex]
[tex]\frac{a^8}{b^8}\cdot \frac{b^{10}}{a^3a^2a}[/tex]
[tex]\frac{a^8}{b^8}\cdot \frac{b^{10}}{a^6}[/tex]
[tex]\frac{a^8b^{10}}{b^8a^6}[/tex]
[tex]\frac{b^{10}a^{8-6}}{b^8}[/tex]
[tex]\frac{a^2b^{10}}{b^8}[/tex]
[tex]a^2b^{10-8}[/tex]
[tex]a^2b^{2}[/tex]
