Answer
$25$
Work Step by Step
We are given: $x=-1$, $y=2$, $z=-3$
We take into account the order of operations:
Parenthesis, Exponents, Multiplication/Division, Addition/Subtraction
Thus, we have:
$$(x^2+y^2)^2=((-1)^2+2^2)^2=(1+4)^2\\
=5^2=25
.$$