Evaluate a zero exponent: Compute (100)^0 (standard exponent convention).

Introduction / Context:The zero-exponent rule states that for any nonzero real number a, a^0 = 1. This is consistent with the laws of exponents and ensures continuity of exponent rules across integers.Given Data / Assumptions:

• Base is 100 (nonzero).

Concept / Approach:Use a^m / a^m = a^(m−m) = a^0 = 1 for any nonzero a. Therefore (100)^0 = 1.Step-by-Step Solution:

Verification / Alternative check:Consider 100^n / 100^n = 1. The left equals 100^(n−n) = 100^0; so 100^0 must be 1.

Why Other Options Are Wrong:

• 0, 10, 100: These contradict the fundamental exponent rule for any nonzero base.

Common Pitfalls:Confusing 0^0 (indeterminate in some contexts) with a^0 for a ≠ 0. Here the base is nonzero.

Final Answer: