Question

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

Explanation:

Step1: Group like variables

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

Step2: Apply exponent quotient rule $\frac{x^m}{x^n}=x^{m-n}$

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

Step3: Calculate exponents

$b^{-2} \times a^{4}$

Step4: Rewrite positive exponents only

$\frac{a^4}{b^2}$

Answer:

$\frac{a^4}{b^2}$