Question

what is the value of $m$ in the equation $\frac{1}{6^{4}} = 6^{m}$?
$m = \square$

Explanation:

Step1: Rewrite left term with negative exponent

$\frac{1}{6^4} = 6^{-4}$

Step2: Equate exponents (same base)

Since $6^{-4}=6^m$, then $m=-4$

Answer:

$m = -4$