\(\left(\sqrt[3]{3}\times\sqrt[3]{4}\right)^{6}=\text{?}\)

প্রশ্ন: \(\left(\sqrt[3]{3}\times\sqrt[3]{4}\right)^{6}=\ ?\)

সমাধান:
\(\begin{aligned} \left(\sqrt[3]{3}\times\sqrt[3]{4}\right)^{6} &= \left(3^{\frac{1}{3}}\times 4^{\frac{1}{3}}\right)^{6} \\ &= \left\{(3\times 4)^{\frac{1}{3}}\right\}^{6} \\ &= (12)^{2} \\ &= 144 \end{aligned}\)