Question

simplify the expression.\\(\frac{4a^{8}b^{9}}{8ab^{5}}\\)

Explanation:

Step1: Simplify the coefficients

$\frac{4}{8} = \frac{1}{2}$

Step2: Simplify the $a$-terms

$\frac{a^8}{a} = a^{8-1} = a^7$

Step3: Simplify the $b$-terms

$\frac{b^9}{b^5} = b^{9-5} = b^4$

Step4: Combine all simplified parts

$\frac{1}{2} \times a^7 \times b^4$

Answer:

$\frac{1}{2}a^7b^4$