1.2-bo'lim : Ratsional ko'rsatkichlar
7. Quyidagi ifodani soddalashtiring va javobni faqat musbat darajalar bilan yozing.
\[{\left( {{a^3}\,{b^{ - \,\,\frac{1}{4}}}} \right)^{\frac{2}{3}}}\]Yechim
Bu erda soddalashtirish uchun oldingi bo'limdagi ko'rsatkich xususiyatlaridan foydalanishdan boshqa ko'p ish yo'q.
\[{\left( {{a^3}\,{b^{ - \,\,\frac{1}{4}}}} \right)^{\frac{2}{3}}} = {a^2}\,{b^{ - \,\,\frac{1}{6}}} = \require{bbox} \bbox[2pt,border:1px solid black]{{\frac{{{a^2}}}{{{b^{\frac{1}{6}}}}}}}\]