step-by-step
\frac{\left(1, 4\right)^{-5}\cdot\left(\frac{5}{7}\right)^{-5}+5^{\frac{1}{2}}\cdot5^{\frac{1}{2}}+7^{\frac{1}{2}}\cdot7^{\frac{1}{2}}}{\left(3^{1, 5}-\sqrt{7}\right)\left(3^{1, 5}+\sqrt{7}\right)}=
ar