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Algebra · orta

Daraja va uning xossalari, darajali ifodalar bo‘yicha savol

$11^a=1331$ va $7^b=343$ bo'lsa, $a+b$ ning qiymatini toping.
  1. A. 6
  2. B. 4
  3. C. -4
  4. D. 3
Javob va yechimni ko‘rish

Javob: 6

Berilgan tenglamalardan $11^{a}=1331$ ni ko‘rib chiqamiz. $1331$ soni $11$ ning qaysi darajasi ekanligini aniqlasak, $11^{3}=1331$ bo‘lgani sababli $a=3$. Keyin $7^{b}=343$ tenglamasini tekshiramiz. $343$ soni $7$ ning darajasi bo‘lib, $7^{3}=343$ ga teng, shuning uchun $b=3$. Endi $a+b$ ni hisoblaymiz: $a+b=3+3=6$. Demak, to‘g‘ri javob $6$, ya’ni variant **A**.

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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