Question

question
fully simplify using only positive exponents.
\\(\frac{20x^{6}y^{5}}{8x^{6}y^{6}}\\)

Explanation:

Step1: Simplify the numerical coefficients

$\frac{20}{8} = \frac{5}{2}$

Step2: Simplify $x$-terms (subtract exponents)

$\frac{x^6}{x^6} = x^{6-6} = x^0 = 1$

Step3: Simplify $y$-terms (subtract exponents)

$\frac{y^5}{y^6} = y^{5-6} = y^{-1} = \frac{1}{y}$

Step4: Combine all simplified parts

$\frac{5}{2} \times 1 \times \frac{1}{y}$

Answer:

$\frac{5}{2y}$