Sonli tengsizliklarni darajaga ko‘tarish
Javoblar ota-onalar va o‘qituvchilar uchun.
1
(3/5)³ va (4/5)³ ni taqqoslang.
(3/5)³ < (4/5)³
2
√5 va ³√11 ni taqqoslang (6-darajaga ko‘taring).
√5 > ³√11, chunki 125 > 121
3
9^(-1/3) va 8^(-1/3) ni taqqoslang.
9^(-1/3) < 8^(-1/3)
4
a > b > 0 bo‘lsa, a^(1/2) va b^(1/2) ni taqqoslang.
a^(1/2) > b^(1/2)
5
2⁵⁰ va 3³⁰ ni taqqoslash uchun nimaga ko‘tarish qulay? Qaysi biri katta?
10-darajali ildiz: 2⁵ = 32 va 3³ = 27, demak 2⁵⁰ > 3³⁰.