Question

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

Explanation:

Step1: Separate like terms

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

Step2: Apply exponent quotient rule

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

Step3: Simplify exponents

$\frac{4}{3} \times m^{2} \times n^{1} \times p^{-1}$

Step4: Rewrite negative exponent

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

Answer:

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