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

$$\mathrm{Evaluate}\mathrm{and}\mathrm{leave}\mathrm{your}\mathrm{answer}\mathrm{in}\mathrm{exponent}\mathrm{form}.$$$$5^{2024}-5^{2023}-5^{2022}-5^{2021}-5^{2020}-5^{2019}=?$$

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

$$=(5^5-5^4-5^3-5^2-5-1)\times 5^{2019}$$$$=(5^5-\frac{5^5-1}{5-1})\times 5^{2019}$$$$=\left(\frac{3\times 5^5+1}{4}\right)\times 5^{2019}$$$$=2344\times 5^{2019}$$

Commented by Tawa11 last updated on 17/Jun/24

$$\mathrm{Thanks}\mathrm{sir}.$$$$\mathrm{I}\mathrm{appreciate}.$$

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