Question

need fastest ans with explain​

Answer 1

$\mathsf{\dfrac{36^{^{\dfrac{7}{2}}}-36^{^{\dfrac{9}{2}}}}{36^{^{\dfrac{5}{2}}}}\ =\ \dfrac{36^{^{\dfrac{7}{2}}}-36^{^{\dfrac{7+2}{2}}}}{36^{^{\dfrac{5}{2}}}}\ =\ \dfrac{36^{^{\dfrac{7}{2}}}\left(1-36^{^{\dfrac{2}{2}}}\right)}{36^{^{\dfrac{5}{2}}}}\ =\ \dfrac{36^{^{\dfrac{7}{2}}}\left(1-36\right)}{36^{^{\dfrac{5}{2}}}}}\\\\\\\\\mathsf{=\ -35\cdot36^{^{\dfrac{7}{2}-\dfrac{5}{2}}}\ =\ -35\cdot36\ =}\ \mathbf{-1260}$