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Which of the following statements about negative exponents is correct?

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Question: Which of the following statements about negative exponents is correct?

Options:

  1. They indicate a reciprocal of the base raised to the positive exponent.
  2. They always result in a negative number.
  3. They can only be applied to integers.
  4. They are not applicable in real number systems.

Correct Answer: They indicate a reciprocal of the base raised to the positive exponent.

Solution: 

Negative exponents indicate the reciprocal of the base raised to the positive exponent.

Which of the following statements about negative exponents is correct?

Practice Questions

Q1
Which of the following statements about negative exponents is correct?
  1. They indicate a reciprocal of the base raised to the positive exponent.
  2. They always result in a negative number.
  3. They can only be applied to integers.
  4. They are not applicable in real number systems.

Questions & Step-by-Step Solutions

Which of the following statements about negative exponents is correct?
  • Step 1: Understand what an exponent is. An exponent tells us how many times to multiply a number by itself.
  • Step 2: Recognize that a negative exponent means we are dealing with the reciprocal of the base.
  • Step 3: Recall that the reciprocal of a number is 1 divided by that number.
  • Step 4: If we have a negative exponent, for example, a^-n, it means we take 1 divided by a raised to the positive exponent n.
  • Step 5: Write the rule: a^-n = 1/(a^n). This shows how negative exponents work.
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