Answer
$64$
Work Step by Step
We will use the following limit rules for this problem:
$ \ Rule -\ 1 \ : \lim\limits_{x \to a} [A(x)]^n =[\lim\limits_{x \to a} A(x)]^n $
$\ Rule \ - \ 2 : \lim\limits_{x \to a} A(x)=A(a)$
Apply the given rules:
$\lim\limits_{x\to 2}(5x+6)^{3/2}=[5(2)+6]^{3/2} \\=(16)^{3/2} \\=64$
