Question
Apply all exponents rules quick check
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GPT 3.5
Sure, here are the basic exponent rules:
1. Product Rule: 𝑎^𝑚 ⋅ 𝑎^n = 𝑎^(m+n)
2. Quotient Rule: 𝑎^𝑚 / 𝑎^n = 𝑎^(m-n)
3. Power Rule: (𝑎^𝑚)^𝑛 = 𝑎^(𝑚⋅𝑛)
4. Zero Rule: 𝑎^0 = 1 (except when a = 0)
5. Negative Exponent Rule: 𝑎^−𝑛 = 1 / 𝑎^n
6. Negative Base Rule: (−𝑎)^𝑛 = 𝑎^n (if n is even, and undefined if n is odd)
These are some of the basic exponent rules. Let me know if you have any specific questions or need further explanation!
1. Product Rule: 𝑎^𝑚 ⋅ 𝑎^n = 𝑎^(m+n)
2. Quotient Rule: 𝑎^𝑚 / 𝑎^n = 𝑎^(m-n)
3. Power Rule: (𝑎^𝑚)^𝑛 = 𝑎^(𝑚⋅𝑛)
4. Zero Rule: 𝑎^0 = 1 (except when a = 0)
5. Negative Exponent Rule: 𝑎^−𝑛 = 1 / 𝑎^n
6. Negative Base Rule: (−𝑎)^𝑛 = 𝑎^n (if n is even, and undefined if n is odd)
These are some of the basic exponent rules. Let me know if you have any specific questions or need further explanation!