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Question Number 202796 by MathematicalUser2357 last updated on 03/Jan/24

$$[2^{8\mathbf{÷}2-1}+4\mathbf{÷}\{2+2^{4\mathbf{÷}(1+1)}\mathbf{÷}(6\mathbf{÷}3-1)\}]\mathbf{÷}[6\mathbf{÷}\{(3^{4\mathbf{÷}2}+5\mathbf{÷}5)\mathbf{÷}2-6\mathbf{÷}(5-2)\}]$$

Answered by a.lgnaoui last updated on 03/Jan/24

$$\mathrm{si}\left(\frac{.}{.}\right)\mathrm{est}\mathrm{une}\mathrm{operation}\mathrm{de}[\mathrm{division}$$$$\Rightarrow \mathrm{Expression}\mathrm{est}\mathrm{equivalente}\mathrm{a}$$$$\mathbf{X}=[\mathrm{A}+\frac{4}{2+\frac{\mathrm{B}}{\mathrm{C}}}]\times \left(\frac{\mathrm{D}-\mathrm{E}}{6}\right)$$$$\mathrm{A}=2^3=8\frac{\mathrm{B}}{\mathrm{C}}=\frac{2^2}{1}=4$$$$\mathrm{D}-\mathrm{E}=\frac{3^2+1}{2}-\frac{6}{3}=5-2=3$$$$\Rightarrow \mathrm{X}=(8+\frac{4}{2+4})\times \left(\frac{3}{6}\right)=(8+\frac{2}{3})\times \frac{1}{2}$$$$\mathbf{X}=\frac{13}{3}$$

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