We have to simplify the expression:
[tex]\frac{12a^4b^{-3}}{15a^{-2}b}[/tex]
We have the variables a and b with different exponents, that we can simplify applyinf the rules of the exponents.
For example, we can do this:
[tex]\begin{gathered} \frac{12a^4b^{-3}}{15a^{-2}b} \\ \frac{12}{15}a^{4-(-2)}b^{-3-1} \\ \frac{4}{5}a^6b^{-4} \\ \frac{4}{5}\frac{a^6}{b^4} \end{gathered}[/tex]
Answer: (4/5)*a^6/b^4
