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Which of the following statements about exponents is false?

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Question: Which of the following statements about exponents is false?

Options:

  1. a^m * a^n = a^(m+n)
  2. a^m / a^n = a^(m-n)
  3. a^0 = 0
  4. a^(-n) = 1/a^n

Correct Answer: a^0 = 0

Solution: 

The statement a^0 = 0 is false; in fact, a^0 = 1 for any non-zero a.

Which of the following statements about exponents is false?

Practice Questions

Q1
Which of the following statements about exponents is false?
  1. a^m * a^n = a^(m+n)
  2. a^m / a^n = a^(m-n)
  3. a^0 = 0
  4. a^(-n) = 1/a^n

Questions & Step-by-Step Solutions

Which of the following statements about exponents is false?
  • Step 1: Understand what an exponent is. An exponent shows how many times to multiply a number by itself.
  • Step 2: Recognize the notation. 'a^0' means 'a raised to the power of 0'.
  • Step 3: Recall the rule for exponents. Any non-zero number raised to the power of 0 equals 1.
  • Step 4: Identify the false statement. The statement 'a^0 = 0' is incorrect because it should be 'a^0 = 1'.
  • Step 5: Conclude that the false statement is 'a^0 = 0'.
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