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Original Question
Use the Product Rule of Exponents to simplify the expression 7^5 ⋅ 7^2.Asked by ykdonni
Use the Product Rule of Exponents to simplify the expression 7^2 7^3
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GPT 3.5
The Product Rule of Exponents states that if you have two numbers with the same base, you can multiply them together and keep the base the same while adding the exponents.
In this case, we have 7^2 and 7^3, which both have a base of 7.
Using the Product Rule, we can simplify 7^2 * 7^3 by keeping the base of 7 and adding the exponents:
7^2 * 7^3 = 7^(2 + 3) = 7^5.
Therefore, 7^2 * 7^3 is equivalent to 7^5.
In this case, we have 7^2 and 7^3, which both have a base of 7.
Using the Product Rule, we can simplify 7^2 * 7^3 by keeping the base of 7 and adding the exponents:
7^2 * 7^3 = 7^(2 + 3) = 7^5.
Therefore, 7^2 * 7^3 is equivalent to 7^5.
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