Question

simplify.
\frac{56xy^{2}}{8x^{5}y^{5}}

Explanation:

Step1: Simplify the coefficients

$\frac{56}{8} = 7$

Step2: Simplify the $x$-terms

$\frac{x}{x^5} = x^{1-5} = x^{-4} = \frac{1}{x^4}$

Step3: Simplify the $y$-terms

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

Step4: Combine all simplified parts

$7 \times \frac{1}{x^4} \times \frac{1}{y^3}$

Answer:

$\frac{7}{x^4 y^3}$