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], follow these steps:
1. Square each value:
- [tex]\(m = -5\)[/tex]
[tex]\[
m^2 = (-5)^2 = 25
\][/tex]
- [tex]\(n = 3\)[/tex]
[tex]\[
n^2 = 3^2 = 9
\][/tex]
2. Add the squared values:
[tex]\[
m^2 + n^2 = 25 + 9 = 34
\][/tex]
3. Take the absolute value of the sum:
[tex]\[
\left| m^2 + n^2 \right| = \left| 34 \right| = 34
\][/tex]
Therefore, the value of the expression [tex]\(\left|m^2 + n^2\right|\)[/tex] is [tex]\(34\)[/tex].
