Question
Use the product rule of exponents to simplified 3 ^ 5 * 3 ^ 7
Answers
Answered by
GPT 3.5
To simplify 3^5 * 3^7 using the product rule of exponents, we need to add the exponents.
The product rule states that when we multiply two powers with the same base, we add the exponents.
In this case, the base is 3, so we add the exponents 5 and 7:
3^5 * 3^7 = 3^(5+7) = 3^12
Therefore, 3^5 * 3^7 can be simplified to 3^12.
The product rule states that when we multiply two powers with the same base, we add the exponents.
In this case, the base is 3, so we add the exponents 5 and 7:
3^5 * 3^7 = 3^(5+7) = 3^12
Therefore, 3^5 * 3^7 can be simplified to 3^12.
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