So the rule with dividing exponents of the same base is to just subtract the exponents. Using this rule, we solve the equation as such:
[tex] \frac{p^{-4}q^5r^6}{p^{-3}q^1r^{-2}}=p^{-4-(-3)}q^{5-1}r^{6-(-2)}=p^{-1}q^4r^8 [/tex]
Next, assuming that you only want positive exponents, to get from a negative exponent to a positive one the rule is [tex] x^{-m}=\frac{1}{x^m} [/tex] . Using this rule, your final answer is going to be [tex] \frac{q^4r^8}{p^1} [/tex]
