Multiply and simplify completely, including the elimination of all negative exponents:

(2x55y10)5(54y823x10)\displaystyle {\left(\frac{{{2}{x}^{{5}}}}{{{5}{y}^{{10}}}}\right)}^{{5}}\cdot{\left(\frac{{{5}^{{4}}{y}^{{8}}}}{{{2}^{{3}}{x}^{{-{{10}}}}}}\right)}  =