To find the value of the expression [tex]\(\left|m^2 + n^2\right|\)[/tex] when [tex]\(m = -5\)[/tex] and [tex]\(n = 3\)[/tex]:
1. Square [tex]\(m\)[/tex]: [tex]\(m^2 = (-5)^2 = 25\)[/tex].
2. Square [tex]\(n\)[/tex]: [tex]\(n^2 = 3^2 = 9\)[/tex].
3. Add the squared values: [tex]\(25 + 9 = 34\)[/tex].
4. Take the absolute value of the result: [tex]\(\left|34\right| = 34\)[/tex].
Therefore, the value of the expression [tex]\(\left|m^2 + n^2\right|\)[/tex] when [tex]\(m = -5\)[/tex] and [tex]\(n = 3\)[/tex] is [tex]\(34\)[/tex].
