Question

Simplify.
Rewrite the expression in the form 5^n

Answer 1

`(5^(-5))/(5^8) = 5^(-13)`

Explanation:

Given

`(5^(-5))/(5^8)`

Required

Express as
`5^n`

We have:

`(5^(-5))/(5^8)`

Apply second law of indices

`(a^m)/(a^n) = a^(m-n)`

So, we have:

`(5^(-5))/(5^8) = 5^(-5-8)`

`(5^(-5))/(5^8) = 5^(-13)`