Question

question
fully simplify using only positive exponents.
\\(\frac{5x^{7}y^{8}}{125x^{8}y^{5}}\\)

Explanation:

Step1: Simplify constant coefficients

$\frac{5}{125} = \frac{1}{25}$

Step2: Simplify $x$ terms (subtract exponents)

$x^{7-8} = x^{-1} = \frac{1}{x}$

Step3: Simplify $y$ terms (subtract exponents)

$y^{8-5} = y^{3}$

Step4: Combine all simplified parts

$\frac{1}{25} \times \frac{1}{x} \times y^3$

Answer:

$\frac{y^3}{25x}$