Question

9a^2b^4-------------3a^3b^-3

Answer 1

`(9a^2b^4)/(3a^3b^(-3))`

Use the next properties to simplify the given expression:

`\begin{gathered} (a^m)/(a^n)=a^(m-n) \\ \\ a^(-m)=(1)/(a^m) \end{gathered}`
`\begin{gathered} =(9)/(3)a^(2-3)b^(4-(-3)) \\ \\ =3a^(-1)b^(4+3) \\ \\ =3a^(-1)b^7 \\ \\ =3((1)/(a^1))b^7 \\ \\ =(3b^7)/(a) \end{gathered}`

Then, the given expression is equal to 3b^7/a