To simplify the expression [tex]\((-8.6)^0\)[/tex], we utilize a fundamental exponent rule. The rule states that any non-zero number raised to the power of 0 is always equal to 1. This principle applies to both positive and negative numbers, as long as the base is non-zero.
Here's a step-by-step breakdown:
1. Identify the base of the exponent, which is [tex]\(-8.6\)[/tex].
2. Note that the exponent is 0.
3. Apply the rule that any non-zero number raised to the power of 0 is 1.
Therefore, simplifying [tex]\((-8.6)^0\)[/tex] results in:
[tex]\[
(-8.6)^0 = 1
\][/tex]
So, the simplified value of [tex]\((-8.6)^0\)[/tex] is 1.
