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Use the product rule of exponents to simplify the expression 7^2 x 7^3

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We have the expression 7^2 * 7^3. According to the product rule of exponents, when multiplying two numbers with the same base, we add the exponents. Therefore, we add 2 and 3 to simplify the expression:

7^2 * 7^3 = 7^(2+3) = 7^5.

So, the simplified expression is 7^5.
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