Question

multiply.
\\(\frac{8y}{5b^4} \cdot \frac{b^5 y}{6y^3}\\)
simplify your answer as much as possible.

Explanation:

Step1: Multiply numerators/denominators

$\frac{8y \cdot b^5 y}{5b^4 \cdot 6y^3}$

Step2: Combine like terms

$\frac{8b^5 y^{1+1}}{30b^4 y^3} = \frac{8b^5 y^2}{30b^4 y^3}$

Step3: Simplify coefficients

$\frac{4b^5 y^2}{15b^4 y^3}$

Step4: Cancel variable exponents

$\frac{4b^{5-4}}{15y^{3-2}} = \frac{4b}{15y}$

Answer:

$\frac{4b}{15y}$