Which of the following statements about exponents is incorrect?

Practice Questions

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

Questions & Step-by-Step Solutions

Which of the following statements about exponents is incorrect?
  • Step 1: Understand what exponents are. Exponents show how many times a number (the base) is multiplied by itself.
  • Step 2: Review the properties of exponents. For example, a^m * a^n = a^(m+n) is correct, meaning you add the exponents when multiplying.
  • Step 3: Look at the statement a^m + a^n = a^(m+n). This suggests that you can add the exponents when adding the bases, which is not true.
  • Step 4: Conclude that the statement a^m + a^n = a^(m+n) is incorrect because addition of exponents does not work like multiplication.
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