True or False? The Zero Rule states that any non-zero number raised to the power of zero is equal to one.
Answer (2)
The Zero Rule states that any non-zero number raised to the power of zero equals one. The given statement aligns with this rule. Therefore, the answer is T r u e .
Explanation
Understanding the Zero Rule The Zero Rule, also known as the zero exponent rule, states that any non-zero number raised to the power of zero is equal to one. This is a fundamental rule in mathematics.
Verification The statement provided accurately describes the Zero Rule. Therefore, the statement is true.
Formal Statement The Zero Rule states that for any non-zero number x , x 0 = 1 . This is a fundamental concept in algebra.
Examples
The Zero Rule is essential in simplifying algebraic expressions and solving equations. For example, consider the expression 5 x 0 . According to the Zero Rule, since x 0 = 1 (assuming x is not zero), the expression simplifies to 5 × 1 = 5 . This rule is also used in polynomial expansions and various other mathematical contexts to ensure consistency and simplify calculations.
The statement regarding the Zero Rule is true; it establishes that any non-zero number raised to the power of zero equals one. The rule is fundamental in mathematics and is used to simplify expressions and solve equations. Therefore, the answer is True.
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