Question
product rule, adding the exponents
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GPT 3.5
The product rule for exponents states that when you multiply two terms with the same base, you add their exponents.
For example, if you have 2^3 * 2^4, you can apply the product rule by adding the exponents: 3 + 4 = 7. Therefore, 2^3 * 2^4 is equal to 2^7.
Similarly, if you have x^2 * x^5, you can apply the product rule by adding the exponents: 2 + 5 = 7. Therefore, x^2 * x^5 is equal to x^7.
For example, if you have 2^3 * 2^4, you can apply the product rule by adding the exponents: 3 + 4 = 7. Therefore, 2^3 * 2^4 is equal to 2^7.
Similarly, if you have x^2 * x^5, you can apply the product rule by adding the exponents: 2 + 5 = 7. Therefore, x^2 * x^5 is equal to x^7.