Exponents refresher for digital math For any nonzero number x, what is the value of x raised to the zero power (x^0)?

Introduction / Context:
Exponential rules frequently appear in digital systems (e.g., 2^n states, memory sizes). A basic but crucial identity is the zero-exponent rule for nonzero bases.

Given Data / Assumptions:

• Base x is nonzero.
• Expression: x^0.

Concept / Approach:
Exponent laws: x^a / x^a = x^(a−a) = x^0. Because any nonzero number divided by itself equals 1, x^0 must be 1 for consistency across algebraic operations.

Step-by-Step Solution:
Start with x^n / x^n = 1 (x ≠ 0).Apply exponent subtraction: x^(n−n) = x^0.Therefore, x^0 = 1.

Verification / Alternative check:
Consider sequence x^3, x^2, x^1, x^0 as successive division by x; dividing x by x yields 1.

Why Other Options Are Wrong:
Zero: would contradict exponent laws unless x = 0, and 0^0 is indeterminate.“That number”: implies x^0 = x, which is false for x ≠ 1.Ten: unrelated to the base or exponent rule.

Common Pitfalls:
Confusing the special, undefined case 0^0 with the general identity for nonzero x.

Final Answer:
one