Question

simplify.
$\frac{a^{4}b^{3}}{ab^{5}}$

Explanation:

Step1: Separate like terms

$\frac{a^4 b^3}{a b^5} = \frac{a^4}{a} \times \frac{b^3}{b^5}$

Step2: Simplify $a$-terms (subtract exponents)

$\frac{a^4}{a} = a^{4-1} = a^3$

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

$\frac{b^3}{b^5} = b^{3-5} = b^{-2} = \frac{1}{b^2}$

Step4: Combine simplified terms

$a^3 \times \frac{1}{b^2} = \frac{a^3}{b^2}$

Answer:

$\frac{a^3}{b^2}$