Монгол Бодлогын Сан

Заавар:$(a^m)^n=a^{mn}$-ийг ашиглаж хувиарийг хялбарчил.

Бодолт:$$2\dfrac17\cdot\dfrac73-3.25=\dfrac{15}{7}\cdot\dfrac{7}{3}-3.25=5-3.25=1.75,$$ $$\left[\left(\dfrac{25}{16}\right)^{\frac94}\right]^{\frac29}=\left(\dfrac{25}{16}\right)^{\frac94\cdot\frac29}=\left(\dfrac{25}{16}\right)^{\frac12}=\dfrac{5}{4}$$ тул $$\dfrac{2\dfrac17\cdot\dfrac73-3.25}{\left[\left(\dfrac{25}{16}\right)^{\frac94}\right]^{\frac29}}=\dfrac{1.75}{\frac54}=\dfrac{1.75\cdot4}{5}=\dfrac{7}{5}=1.4$$