Easiest Question

$\begin{aligned} x^{\blue y} & = x^{\blue{yx}} \\ \implies y & = yx \\ x & = \boxed 1 \end{aligned}$

Given, $x^y=x^{xy}$

$\Rightarrow y=xy$

$\Rightarrow 1=x$

So, $(x+1)^5=(1+1)^5=\boxed {32}$

A number multiplied by a number Y times is equal to the same number multiplied by Y times then X times, the variable X must be 1.

1 multiplied by 1, A times is 1.

So the question is (1+1)˄5 which is 2𝐱2𝐱2𝐱2𝐱2 = 32 !!!