1. Muammo: $\text{Tenglama: } \frac{(\frac{1}{4})^{\frac{3}{2}}}{\frac{4}{7} + 2} : \frac{7}{10} + ... + \frac{2}{22-25}$ ni hisoblang. 2. Formulalar va qoidalar: - Darajaga ko'tarish: $a^{m/n} = \sqrt[n]{a^m}$ - Bo'linma va qo'shish amalini ketma-ket bajarish - Qoldiqni hisoblashda oddiy arifmetik amal 3. Hisoblash: - $\left(\frac{1}{4}\right)^{\frac{3}{2}} = \left(\frac{1}{4}\right)^{1.5} = \frac{1}{4^{1.5}} = \frac{1}{4 \times 2} = \frac{1}{8}$ - $\frac{4}{7} + 2 = \frac{4}{7} + \frac{14}{7} = \frac{18}{7}$ - Bo'linma: $\frac{\frac{1}{8}}{\frac{18}{7}} = \frac{1}{8} \times \frac{7}{18} = \frac{7}{144}$ - $\frac{7}{144} : \frac{7}{10} = \frac{7}{144} \times \frac{10}{7} = \frac{10}{144} = \frac{5}{72}$ - $22 - 25 = -3$ - $\frac{2}{22-25} = \frac{2}{-3} = -\frac{2}{3}$ - To'liq ifoda: $\frac{5}{72} + ... - \frac{2}{3}$ (bu yerda "..." ifodasi aniq emas, shuning uchun to'liq yechim berilmaydi) Natija: To'liq ifoda aniq emas, shuning uchun javobni aniqlash mumkin emas. Slug: "fraction-evaluation" Subject: "algebra" SVG: "" Desmos: {"latex":"","features":{"intercepts":true,"extrema":true}} q_count: 13