Question

divide.
\\(\frac{5b^5}{6a^3b} \div \frac{b}{4a^2}\\)
simplify your answer as much as possible.

Explanation:

Step1: Rewrite division as multiplication

$\frac{5b^5}{6a^3b} \times \frac{4a^2}{b}$

Step2: Multiply numerators and denominators

$\frac{5b^5 \times 4a^2}{6a^3b \times b}$

Step3: Simplify coefficients and variables

$\frac{20a^2b^5}{6a^3b^2} = \frac{10b^{5-2}}{3a^{3-2}}$

Step4: Compute exponents

$\frac{10b^3}{3a}$

Answer:

$\frac{10b^3}{3a}$