Question

Simplify. Rewrite the expression in the form 5^n

Answer 1

Answer:

$\frac{5^{-5}}{5^8} = 5^{-13}$

Step-by-step explanation:

Given

$\frac{5^{-5}}{5^8}$

Required

Express as $5^n$

We have:

$\frac{5^{-5}}{5^8}$

Apply second law of indices

$\frac{a^m}{a^n} = a^{m-n}$

So, we have:

$\frac{5^{-5}}{5^8} = 5^{-5-8}$

$\frac{5^{-5}}{5^8} = 5^{-13}$