7. 24 va 108 sonlari EKUKining kub ildizini toping. a) 2⁴ × 5² ifodaning kubini toping. b) a) bandda topilgan natijaning kvadrat ildizini toping. Javobingizni daraja ko‘rinishida qoldiring.

\(24=2^3\cdot3\), \(108=2^2\cdot3^3\), shuning uchun \(\operatorname{EKUK}(24,108)=2^3\cdot3^3=216=6^3\).

Demak, \(\sqrt[3]{216}=6\).

a) \((2^4\cdot5^2)^3=2^{12}\cdot5^6\).

b) \(\sqrt{2^{12}\cdot5^6}=2^6\cdot5^3\).

Javob: EKUKning kub ildizi — 6; a) \(2^{12}\cdot5^6\); b) \(2^6\cdot5^3\).