Respuesta :

Given the expression:

[tex]5^{-2}\ast5^5[/tex]

To find the equivalent expression, let's simplify the expression using power rule.

[tex]a^m\ast a^n=a^{m+n}[/tex]

Since they have the same base, we are to add the exponents.

We have:

[tex]5^{-2}\text{ }\ast5^5=5^{-2+5}=5^3[/tex]

Therefore, the eqivalent expression is 5³

ANSWER:

[tex]5^3[/tex]

We a