Question

rewrite the expression shown in simplest form. $\frac{5y^{2}}{x} div \frac{2y^{3}}{x^{2}} cdot \frac{6y}{x}$

Explanation:

Step1: Rewrite division as multiplication

$\frac{5y^2}{x} \times \frac{x^2}{2y^3} \cdot \frac{6y}{x}$

Step2: Multiply all numerators/denominators

$\frac{5y^2 \times x^2 \times 6y}{x \times 2y^3 \times x}$

Step3: Combine like terms (exponents)

$\frac{30 x^2 y^{2+1}}{2 x^{1+1} y^3} = \frac{30 x^2 y^3}{2 x^2 y^3}$

Step4: Simplify the fraction

$\frac{30}{2} \times \frac{x^2}{x^2} \times \frac{y^3}{y^3}$

Answer:

$15$