Question

simplify.
\\(\frac{b^{5}a^{3}}{b^{6}a^{2}}\\)

Explanation:

Step1: Group like variables

$\frac{b^5}{b^6} \times \frac{a^3}{a^2}$

Step2: Apply exponent quotient rule

For $\frac{b^5}{b^6}$: $b^{5-6}=b^{-1}=\frac{1}{b}$
For $\frac{a^3}{a^2}$: $a^{3-2}=a^{1}=a$

Step3: Multiply the results

$\frac{1}{b} \times a$

Answer:

$\frac{a}{b}$