Evaluate-and-leave-your-answer-in-exponent-form-5-2024-5-2023-5-2022-5-2021-5-2020-5-2019-

Question Number 208508 by Tawa11 last updated on 17/Jun/24

Evaluate and leave your answer in exponent form .

5^{2024} - 5^{2023} - 5^{2022} - 5^{2021} - 5^{2020} - 5^{2019} = ?

Answered by mr W last updated on 17/Jun/24

= (5^{5} - 5^{4} - 5^{3} - 5^{2} - 5 - 1) \times 5^{2019}

= (5^{5} - \frac{5^{5} - 1}{5 - 1}) \times 5^{2019}

= (\frac{3 \times 5^{5} + 1}{4}) \times 5^{2019}

= 2344 \times 5^{2019}

Commented by Tawa11 last updated on 17/Jun/24

Thanks sir .

I appreciate .

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