question\nfully simplify using only positive exponents.\n$\frac{15x^{5}y^{7}}{3x^{3}y^{8}}$

Explanation:

Step1: Divide the coefficients

$\frac{15}{3}=5$

Step2: Use the quotient - rule for exponents on $x$ terms

$\frac{x^{5}}{x^{3}}=x^{5 - 3}=x^{2}$

Step3: Use the quotient - rule for exponents on $y$ terms

$\frac{y^{7}}{y^{8}}=y^{7-8}=y^{-1}=\frac{1}{y}$

Step4: Combine the results

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

Answer:

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