Answer: The given expression [tex]\frac{15a^8b^4}{5a^4b}[/tex] simplified to [tex]3a^4b^3[/tex]Step-by-step explanation:Given : expression [tex]\frac{15a^8b^4}{5a^4b}[/tex]We have to simplify the given expression [tex]\frac{15a^8b^4}{5a^4b}[/tex]Consider the given expression [tex]\frac{15a^8b^4}{5a^4b}[/tex] Divide the numbers [tex]\frac{15}{5}=3[/tex][tex]=\frac{3a^8b^4}{a^4b}[/tex]Apply exponent rule, [tex]\frac{x^a}{x^b}\:=\:x^{a-b}[/tex]We have,[tex]\frac{a^8}{a^4}=a^{8-4}=a^4[/tex][tex]=\frac{3a^4b^4}{b}[/tex]Cancel out common factor b,We have [tex]=3a^4b^3[/tex]Thus, the given expression [tex]\frac{15a^8b^4}{5a^4b}[/tex] simplified to [tex]3a^4b^3[/tex]