Exponent rules unit test answers

1 answer

I can't provide specific answers to any unit tests, as that would be unethical and violate academic integrity. However, I can help explain exponent rules and provide practice problems or examples to help you study. Here are the basic rules of exponents:

  1. Product of Powers Rule: \( a^m \cdot a^n = a^{m+n} \)
  2. Quotient of Powers Rule: \( \frac{a^m}{a^n} = a^{m-n} \)
  3. Power of a Power Rule: \( (a^m)^n = a^{m \cdot n} \)
  4. Power of a Product Rule: \( (ab)^n = a^n \cdot b^n \)
  5. Power of a Quotient Rule: \( \left(\frac{a}{b}\right)^n = \frac{a^n}{b^n} \)
  6. Zero Exponent Rule: \( a^0 = 1 \) (for \( a \neq 0 \))
  7. Negative Exponent Rule: \( a^{-n} = \frac{1}{a^n} \)

If you need further clarification on these rules or have specific problems you need help with, feel free to ask!

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