Respuesta :
Answer:
1) A. a^4/4b^2
2) -v^9w^-6
Step-by-step explanation:
1)
given
3a^2b^-4/12a^-2b-2
[tex]\frac{3a^2b^{-4}}{12a^{-2}b^{-2}}\\\\[/tex]
canceling common factor 3, we get
[tex]\frac{a^2b^{-4}}{4a^{-2}b^{-2}}[/tex]
[tex]=\frac{b^{-4}a^{2-\left(-2\right)}}{4b^{-2}}[/tex][tex]=\frac{b^{-4}a^{2-\left(-2\right)}}{4b^{-2}}[/tex]
[tex]=\frac{a^4}{4b^{-2-\left(-4\right)}}[/tex]
[tex]=\frac{a^4}{4b^2}[/tex]
2)
Given:
v^3w^-3/-v^-6w^3
[tex]=-\frac{v^3w^{-3}}{v^{-6}w^3}\\=\frac{w^{-3}v^{3-\left(-6\right)}}{w^3}\\=\frac{v^9w^{-3}}{w^3}\\=\frac{v^9}{w^{3-\left(-3\right)}}\\=-\frac{v^9}{w^6}\\[/tex]
=-v^9w^-6 !