Answer
$81$.
Work Step by Step
The given expression is
$=\frac{(666)^4}{(222)^4}$
Factor each term.
$=\frac{(2\cdot 3\cdot 111)^4}{(2\cdot 111)^4}$
Use the law of exponents $=\frac{a^n}{b^n}=\left (\frac{a}{b}\right )^n$
$=\left ( \frac{2\cdot 3\cdot 111}{2\cdot 111}\right )^4$
Cancel common terms.
$=\left ( 3\right )^4$
Use $3^4 =81$.
$=81$.
