Answer:
[tex]\frac{a^2}{b^2}[/tex]
Step-by-step explanation:
Apply the exponent rule [tex]a^b*a^c=a^b+c[/tex] to a
[tex]a^4*a^-^2=a^4^-^2=a^2[/tex]
[tex]b^3a^2b^-^5[/tex]
Apply the exponent rule to b
[tex]b^3*b^-^5=b^3^-^5=b^-^2[/tex]
Apply the exponent rule [tex]a^-^b=\frac{1}{a^b}[/tex]
[tex]b^-^2=\frac{1}{b^2}=\frac{1}{b^2}a^2=\frac{a^2}{b^2}[/tex]
