Question

question
fully simplify using only positive exponents.
\\(\frac{25x^{2}y}{125x^{4}y^{4}}\\)

Explanation:

Step1: Simplify the constant terms

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

Step2: Simplify the $x$-terms using exponent rules

$x^{2-4} = x^{-2} = \frac{1}{x^2}$

Step3: Simplify the $y$-terms using exponent rules

$y^{1-4} = y^{-3} = \frac{1}{y^3}$

Step4: Combine all simplified parts

$\frac{1}{5} \times \frac{1}{x^2} \times \frac{1}{y^3}$

Answer:

$\frac{1}{5x^2y^3}$