Question

question
fully simplify using only positive exponents.
\\(\frac{24x^{8}y^{3}}{16x^{8}y^{8}}\\)

Explanation:

Step1: Simplify the numerical coefficients

$\frac{24}{16} = \frac{3}{2}$

Step2: Simplify the $x$-terms

$\frac{x^8}{x^8} = x^{8-8} = x^0 = 1$

Step3: Simplify the $y$-terms

$\frac{y^3}{y^8} = y^{3-8} = y^{-5} = \frac{1}{y^5}$

Step4: Combine all simplified parts

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

Answer:

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