Question

Divide monomials ( -18p^4 q^7) (-6p^3 q^8) / -36p^12 q^10

Answer 1

Given:

`((-18p^4q^7)(-6p^3q^8))/(-36p^(12)q^(10))`

We will use the following rules of the exponents:

`\begin{gathered} (a^m)/(a^n)=a^(m-n) \\ a^m\cdot a^n=a^(m+n) \end{gathered}`

So, the given expression will be as follows:

`\begin{gathered} ((-18p^4q^7)(-6p^3q^8))/(-36p^(12)q^(10))=((-18\cdot-6)/(-36))\cdot p^(4+3-12)\cdot q^(7+8-10) \\ \\ =(-3)\cdot p^(-5)\cdot q^5 \\ \\ =(-3q^5)/(p^5) \end{gathered}`

so, the answer will be:

`(-3q^5)/(p^5)`