To evaluate the expression [tex]\((-12)^0\)[/tex], we can employ a fundamental rule in mathematics concerning exponents. The rule states that any non-zero number raised to the power of zero is equal to 1. This applies regardless of whether the base is positive or negative.
Here’s a step-by-step explanation:
1. Identify the base and the exponent:
- The base in this expression is [tex]\(-12\)[/tex].
- The exponent is [tex]\(0\)[/tex].
2. Apply the exponentiation rule:
- According to the exponentiation rule, any non-zero number raised to the power of zero equals [tex]\(1\)[/tex]. This means:
[tex]\[
a^0 = 1
\][/tex]
where [tex]\(a\)[/tex] is any non-zero number.
3. Substitute the base into the rule:
- In our case, the base is [tex]\(-12\)[/tex], which is a non-zero number. Therefore:
[tex]\[
(-12)^0 = 1
\][/tex]
Thus, the value of the expression [tex]\((-12)^0\)[/tex] is [tex]\(1\)[/tex].
Therefore, the correct answer is [tex]\( \boxed{1} \)[/tex].
