Question

fully simplify using only positive exponents. \\(\frac{25x^{5}y^{2}}{x^{8}y^{3}}\\)

Explanation:

Step1: Simplify $x$ terms

Use exponent rule $\frac{x^a}{x^b}=x^{a-b}$
$\frac{x^5}{x^8}=x^{5-8}=x^{-3}=\frac{1}{x^3}$

Step2: Simplify $y$ terms

Use exponent rule $\frac{y^a}{y^b}=y^{a-b}$
$\frac{y^2}{y^3}=y^{2-3}=y^{-1}=\frac{1}{y}$

Step3: Combine all simplified parts

Multiply constant and simplified variables
$25 \times \frac{1}{x^3} \times \frac{1}{y}$

Answer:

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