Question

. \\(\frac{22r^{3}s^{2}}{11r^{2}s^{-3}}\\)

Explanation:

Step1: Split into coefficient & variables

$\frac{22}{11} \times \frac{r^3}{r^2} \times \frac{s^2}{s^{-3}}$

Step2: Simplify coefficient

$\frac{22}{11} = 2$

Step3: Simplify $r$-terms (subtract exponents)

$\frac{r^3}{r^2} = r^{3-2} = r^1 = r$

Step4: Simplify $s$-terms (subtract exponents)

$\frac{s^2}{s^{-3}} = s^{2-(-3)} = s^{2+3} = s^5$

Step5: Multiply simplified terms

$2 \times r \times s^5$

Answer:

$2rs^5$