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Question Number 192697 by cortano12 last updated on 25/May/23

$$\mathrm{Find}\mathrm{the}\mathrm{value}\mathrm{of}$$$${(9\mathrm{x}-\frac{1}{100}\mathrm{x})}^3{(9\mathrm{x}-\frac{2}{100}\mathrm{x})}^3{(9\mathrm{x}-\frac{3}{100}\mathrm{x})}^3...{(9\mathrm{x}-\frac{2013}{100}\mathrm{x})}^3.$$

Answered by deleteduser1 last updated on 31/May/23

$$x^{6039}{[\left(\frac{900-1}{100}\right)\left(\frac{900-2}{100}\right)...\left(\frac{900-2013}{100}\right)]}^3$$$$=\frac{x^{6039}}{{10}^{12078}}{\left(899\right)}^3{\left(888\right)}^3...{(-1113)}^3=0$$

Commented by Mingma last updated on 25/May/23

Nice work, sir!

Commented by cortano12 last updated on 27/May/23

$$\mathrm{answer}\mathrm{is}0$$

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