Hisoblang: $\left(\left(\frac{6}{7}\right)^{-2}-\left(\frac{4}{5}\right)^0\right):\left(\left(\frac{1}{13}\right)^{-1}\right)$
- A. 1/34
- B. 1/36
- C. 1/37
- D. 1/35
Daraja va uning xossalari, darajali ifodalar bo‘yicha savol
Javob va yechimni ko‘rish
Javob: 1/36
Berilgan ifodani hisoblash uchun daraja xossalaridan foydalanamiz. Birinchi qavs ichidagi manfiy darajali kasrni almashtirsak, $\left(\frac{6}{7}\right)^{-2} = \left(\frac{7}{6}\right)^2 = \frac{49}{36}$ hosil bo'ladi. Nolinchi darajaning xossasiga ko'ra $\left(\frac{4}{5}\right)^0 = 1$ bo'lgani uchun qavs ichidagi ayirma $\frac{49}{36} - 1 = \frac{13}{36}$ ga teng. Bo'luvchi ifodada manfiy darajani musbatga o'tkazsak, $\left(\frac{1}{13}\right)^{-1} = 13$ kelib chiqadi. Oxirgi bosqichda bo'lish amalini bajaramiz: $\frac{13}{36} : 13 = \frac{13}{36} \cdot \frac{1}{13} = \frac{1}{36}$. Shunday qilib, to'g'ri javob $A$ varianti.
Mavzuni mustahkamlang
Bu savol Daraja va uning xossalari, darajali ifodalar mavzusiga tegishli. Ta’riflar, formulalar va misollarni mavzu sahifasida ko‘ring.
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