If a^0 = 1 for any non-zero number a, which of the following statements is true?

₹0.0

Question: If a^0 = 1 for any non-zero number a, which of the following statements is true?

Options:

Correct Answer: The exponent zero indicates the multiplicative identity.

Solution:

The exponent zero indicates the multiplicative identity, meaning any non-zero number raised to the power of zero equals one.

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?

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'.

Exponentiation – Understanding the properties of exponents, particularly that any non-zero number raised to the power of zero equals one.
Multiplicative Identity – Recognizing that the multiplicative identity is 1, which is the result of raising any non-zero number to the power of zero.