Carmen's reasoning is incorrect due to a misunderstanding of the zero exponent rule. The Power of Zero Rule states that any non-zero number raised to the power of zero equals one (e.g., \(a^0 = 1\) for \(a \neq 0\)), and the expression \(9/9\) simplifying incorrectly in her explanation does not provide a valid demonstration of this rule.
Carmen stated that the following demonstrates why the Power of Zero Rule of Exponents is equal to 1.
9/9=9 1/9 1=9 1−1 =9 0= 1
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In 1–2 sentences, say whether Carmen is correct, and explain why or why not.
1 answer