Alright, let's simplify the given expression step by step:
1. Evaluate the expression inside the parentheses (brackets):
[tex]\[
5 + 4 = 9
\][/tex]
2. Substitute the result back into the original expression:
[tex]\[
(5+4)^0 = 9^0
\][/tex]
3. Recall the rule of exponents that states any non-zero number raised to the power of 0 is 1:
[tex]\[
9^0 = 1
\][/tex]
Therefore, the simplified value of the given expression [tex]\((5+4)^0\)[/tex] is:
[tex]\[
(5+4)^0 = 1
\][/tex]
