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Algebra · orta

Daraja va uning xossalari, darajali ifodalar bo‘yicha savol

Agar $a^{3}=8$ va $b^{2}=9$ bo'lsa, $a^{2}b$ ning qiymatini toping.
  1. A. $12$
  2. B. $6$
  3. C. $18$
  4. D. $9$
Javob va yechimni ko‘rish

Javob: $12$

Berilgan $a^{3}=8$ tenglamasidan $a$ ning musbat ildizini topamiz: $a=\sqrt[3]{8}=2$. Shuningdek, $b^{2}=9$ dan $b$ ning musbat ildizini olishimiz mumkin: $b=\sqrt{9}=3$. Endi $a^{2}b$ ifodasini hisoblaymiz: $a^{2}b=(2)^{2}\cdot 3=4\cdot 3=12$. Demak, $a^{2}b$ ning qiymati $\displaystyle 12$, ya’ni javob 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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