Question

simplify.
\frac{a^{6}b^{3}}{a^{4}b^{5}}

Explanation:

Step1: Apply exponent quotient rule for $a$

$\frac{a^6}{a^4}=a^{6-4}=a^2$

Step2: Apply exponent quotient rule for $b$

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

Step3: Combine the simplified terms

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

Answer:

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