QuestionQuestion
Fully simplify using only positive exponents. $$\frac{125 x^{8} y^{4}}{25 x^{2} y^{8}}$$

Studdy Solution
Simplify the exponents of $y$ using the same quotient rule for exponents.
$$y^{4-8} = y^{-4}$$
Since we need to express the result with positive exponents, rewrite $y^{-4}$ as $\frac{1}{y^{4}}$.
The fully simplified expression is:
$$5x^{6} \times \frac{1}{y^{4}} = \frac{5x^{6}}{y^{4}}$$