Монгол Бодлогын Сан

Заавар:$(a^m)^n=a^{mn}$, $a^{m}a^{n}=a^{m+n}$, $\dfrac{a^{m}}{a^{n}}=a^{m-n}$ чанаруудыг ашигла.

Бодолт:$(7^{\frac12})^{-\frac13}=7^{\frac12\cdot\big(-\frac13\big)}=7^{-\frac16}$, $49^{\frac14}=(7^{2})^{\frac14}=7^{\frac12}$ байна. Иймд $$\dfrac{(7^{\frac12})^{-\frac13}\cdot49^{\frac14}}{7^{-\frac12}}=\dfrac{7^{-\frac16}\cdot7^{\frac12}}{7^{-\frac12}}=7^{-\frac16+\frac12-\big(-\frac12\big)}=7^{\frac56}$$ байна.