Question

1. \\(\frac{3m^4n^{-2}}{3mn^{-3}}\\)

Explanation:

Step1: Cancel common coefficient

$\frac{3m^4n^{-2}}{3mn^{-3}} = \frac{m^4n^{-2}}{mn^{-3}}$

Step2: Simplify $m$ terms

$\frac{m^4}{m} = m^{4-1} = m^3$

Step3: Simplify $n$ terms

$\frac{n^{-2}}{n^{-3}} = n^{-2-(-3)} = n^{1}=n$

Step4: Combine simplified terms

$m^3 \times n$

Answer:

$m^3n$