Express the given number as a power of a base $\mathrm{<mn>2</mn>}$:

${{\mathrm{<mn>2</mn>}}^{\mathrm{<mn>7</mn>}}·\left({\mathrm{<mn>2</mn>}}^{\mathrm{<mn>9</mn>}}\right)}^{\mathrm{<mn>8</mn>}}=$