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If a^0 = 1 for any non-zero number a, what can be inferred about the expression

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Question: If a^0 = 1 for any non-zero number a, what can be inferred about the expression 5^0?

Options:

  1. It equals 0.
  2. It equals 1.
  3. It is undefined.
  4. It equals 5.

Correct Answer: It equals 1.

Solution: 

According to the exponent rule, any non-zero number raised to the power of zero equals 1.

If a^0 = 1 for any non-zero number a, what can be inferred about the expression

Practice Questions

Q1
If a^0 = 1 for any non-zero number a, what can be inferred about the expression 5^0?
  1. It equals 0.
  2. It equals 1.
  3. It is undefined.
  4. It equals 5.

Questions & Step-by-Step Solutions

If a^0 = 1 for any non-zero number a, what can be inferred about the expression 5^0?
  • Step 1: Understand the rule that states any non-zero number raised to the power of zero equals 1.
  • Step 2: Identify the number in the expression 5^0, which is 5.
  • Step 3: Confirm that 5 is a non-zero number.
  • Step 4: Apply the rule to the expression 5^0.
  • Step 5: Conclude that 5^0 equals 1.
  • Exponent Rules – Understanding that any non-zero number raised to the power of zero equals one.
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