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If a^0 = 1 for any non-zero number a, which of the following statements is true?
If a^0 = 1 for any non-zero number a, which of the following statements is true?
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Practice Questions
1 question
Q1
If a^0 = 1 for any non-zero number a, which of the following statements is true?
0 raised to any power is also 1.
Any number raised to the power of zero is zero.
Only positive numbers can be raised to the power of zero.
The exponent zero indicates the multiplicative identity.
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The exponent zero indicates the multiplicative identity, meaning any non-zero number raised to the power of zero equals one.
Questions & Step-by-step Solutions
1 item
Q
Q: If a^0 = 1 for any non-zero number a, which of the following statements is true?
Solution:
The exponent zero indicates the multiplicative identity, meaning any non-zero number raised to the power of zero equals one.
Steps: 5
Show Steps
Step 1: Understand what 'a^0' means. This means 'a' raised to the power of zero.
Step 2: Remember that 'a' is any non-zero number. This means 'a' can be any number except zero.
Step 3: Know the rule: Any non-zero number raised to the power of zero equals one. This is a mathematical rule.
Step 4: Therefore, if you see 'a^0', you can confidently say it equals 1, as long as 'a' is not zero.
Step 5: Look for statements that support this rule. The correct statement will say that 'a^0 = 1' for any non-zero 'a'.
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