Question

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

Explanation:

Step1: Simplify coefficients and like variables

For the coefficient, we have $\frac{4}{3}$. For the variable $m$, using the rule of exponents $a^m / a^n = a^{m - n}$, we get $m^{4 - 2}=m^2$. For the variable $n$, we have $n^{3 - 2}=n^1 = n$. For the variable $p$, we have $p^{3 - 4}=p^{-1}=\frac{1}{p}$.

Step2: Combine the simplified parts

Multiply the simplified coefficient and variables together: $\frac{4}{3} \times m^2 \times n \times \frac{1}{p}=\frac{4m^2n}{3p}$

Answer:

$\frac{4m^2n}{3p}$