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22 June, 10:53

Prove the divisibility of the following numbers: 5^5-5^4+5^3 by 7

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  1. 22 June, 12:31
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    Step-by-step explanation:

    5⁵ - 5⁴ + 5³

    Factor 5³.

    5³ (5² - 5 + 1)

    5³ (25 - 5 + 1)

    5³ (21)

    21 is a multiple of 7, so 5⁵ - 5⁴ + 5³ is a multiple of 7.
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