Question

1. fully simplify using only positive exponents.

\\(\frac{6x^5y^8}{12x^4y^5}\\)

Explanation:

Step1: Simplify the constant terms

$\frac{6}{12} = \frac{1}{2}$

Step2: Simplify $x$-terms via exponent rule

$x^{5-4} = x^{1} = x$

Step3: Simplify $y$-terms via exponent rule

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

Step4: Combine all simplified parts

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

Answer:

$\frac{xy^{3}}{2}$