Answer
$288$
Work Step by Step
$\bf{\text{Solution Outline:}}$
To evaluate the given summation expression, $
\displaystyle\sum_{i=1}^4 i^i
,$ substitute $
i
$ with the values from $
1
$ to $
4
$ and then simplify the expression.
$\bf{\text{Solution Details:}}$
Substituting $
i
$ with the numbers from $
1
$ to $
4
,$ the given expression evaluates to
\begin{array}{l}\require{cancel}
1^1+2^2+3^3+4^4
\\\\=
1+4+27+256
\\\\=
288
.\end{array}
