Respuesta :

Exponent rules tell us that [tex]a^{(b^{c})}=a^{bc}[/tex] thus:
[tex](5^{-2}a^{3}b^{-4})^{-1} = 5^{2}a^{-3}b^{4}[/tex]
Which can be re-written in simplified form as:
[tex]\frac{25b^{4}}{a^{3}}[/tex]