Simplify: \(\frac{18a^5b^3}{6a^2b}\).

Correct answer: \(3a^3b^2\)

Dividing the coefficients gives \(18\div6=3\). When powers with the same base are divided, their exponents are subtracted: \(a^5\div a^2=a^{5-2}=a^3\) and \(b^3\div b=b^{3-1}=b^2\). Hence, the simplified form is \(3a^3b^2\). Option B adds the exponents instead of subtracting them, while option C uses an incorrect coefficient. Exam tip: for division of like bases, subtract the denominator exponent from the numerator exponent.