Question

simplify.
rewrite the expression in the form $6^n$.
$\dfrac{6^{-6}}{6^{-5}} = \square$

Explanation:

Step1: Apply exponent division rule

For $\frac{a^m}{a^n}=a^{m-n}$, here $a=6$, $m=-6$, $n=-5$.
$\frac{6^{-6}}{6^{-5}}=6^{-6 - (-5)}$

Step2: Simplify the exponent

Calculate the value of the exponent.
$6^{-6 + 5}=6^{-1}$

Answer:

$6^{-1}$