Compute:

$(243)^{\dfrac{2}{5}} ÷ (32)^{-\dfrac{2}{5}}$

$(243)^{\dfrac{2}{5}} ÷ (32)^{-\dfrac{2}{5}}\\[1em] = (3^5)^{\dfrac{2}{5}} ÷ (2^5)^{-\dfrac{2}{5}}\\[1em] = (3)^{5\times\dfrac{2}{5}} ÷ (2)^{-5\times\dfrac{2}{5}}\\[1em] = (3)^{2} ÷ (2)^{-2}\\[1em] = (3)^{2} \times \Big(\dfrac{1}{2}\Big)^{-2}\\[1em] = (3)^{2} \times \dfrac{2}{1}^{2}\\[1em] = (9) \times (4)\\[1em] = 36$

$(243)^{\dfrac{2}{5}} ÷ (32)^{-\dfrac{2}{5}} = 36$