Question

simplify the expression write the result using positive exponents only assume that all bases are not equal to zero

Answer 1

Consider the formulae,

`\begin{gathered} (ab)/(cd)=(a)/(c)*(b)/(d) \\ (x^a)/(x^b)=x^(a-b) \end{gathered}`

Now, solve the given expression as follows,

`\begin{gathered} (-12m^4)/(-3m^3) \\ =(-12)/(-3)*(m^4)/(m^3) \\ =4* m^(4-3) \\ =4* m^1 \\ =4m \end{gathered}`

Thus, the simplification yields '4m'.