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5 to the power of three times 5 to the power of 2 is equal to 5 to the power of 5. We know this because A^a times A^b equals A^(a+b). We know this by solving the problem manually. 5 to the power of 3 is equal to 5*5*5 and 5 to the power of 2 is equal to 5*5. when you multiply them, it becomes 5*5*5*5*5 which is equal to 5 to the power of 5.

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